Challenge: a sound wave with a frequency of 100.0 Hz travels in water with a speed of 1,500 m/s and then travels in air with a speed of 340 m/s. Approximately how many times larger is the wavelength in water than in air?

Answers

Answer 1
Final answer:

The wavelength in water is approximately 4.41 times larger than the wavelength in air.

Explanation:

In order to calculate the ratio of the wavelengths in water and in air, we need to use the formula:

ratio = speed of sound in water / speed of sound in air

Given that the speed of sound in water is 1500 m/s and the speed of sound in air is 340 m/s, we can substitute these values into the formula: ratio = 1500 m/s / 340 m/s = 4.41

Therefore, the wavelength in water is approximately 4.41 times larger than the wavelength in air.

Answer 2

The wavelength in water is approximately 4.4 times larger than in air.

To find the wavelength of a sound wave in a given medium, one can use the formula:

[tex]\[ \lambda = \frac{v}{f} \][/tex]

where [tex]\( \lambda \)[/tex] is the wavelength, [tex]\( v \)[/tex] is the speed of sound in the medium, and [tex]\( f \)[/tex] is the frequency of the sound wave.

Given that the frequency [tex]\( f \)[/tex] of the sound wave is 100.0 Hz, we can calculate the wavelength in water and in air using their respective speeds.

First, calculate the wavelength in water:

[tex]\[ \lambda_{\text{water}} = \frac{v_{\text{water}}}{f} = \frac{1,500 \text{ m/s}}{100.0 \text{ Hz}} = 15 \text{ m} \][/tex]

Next, calculate the wavelength in air:

[tex]\[ \lambda_{\text{air}} = \frac{v_{\text{air}}}{f} = \frac{340 \text{ m/s}}{100.0 \text{ Hz}} = 3.4 \text{ m} \][/tex]

To find out how many times larger the wavelength in water is compared to the wavelength in air, we divide the wavelength in water by the wavelength in air:

[tex]\[ \text{Ratio} = \frac{\lambda_{\text{water}}}{\lambda_{\text{air}}} = \frac{15 \text{ m}}{3.4 \text{ m}} \approx 4.4 \][/tex]


Related Questions

which of the following astronomical bodies is the highest in hierarchy
earth
galaxy
solar system
star

Answers

Galaxy would be the highest in hierarchy because stars and planets are last and galaxies consist of solar systems so galaxy is the biggest.

Answer:

Galaxy

Explanation:

The astronomical body which is the highest in hierarchical order is the Galaxy.

The order of the astronomical body from the Highest to Lowest include

:Universe, galaxy, solar system, star, planet, moon and asteroid.

In the example above , the order of hierarchy from highest to lowest is Galaxy, Solar system, Star, Earth(planet).

One atom has 14 neutrons. Another has 13 neutrons. Both have 13 protons. These atoms are...

A. isotopes
B. different elements
C. Molecules
D. Ions

Answers

Hello!

These atoms are isotopes

Isotopes
are atoms with the same number of protons (which determine the atomic number) and a different number of neutrons. These two atoms have the same number of protons (13), but a different number of neutrons, so they are isotopes

According to their number of protons, these are Aluminum isotopes: ²⁷Al (stable), and ²⁶Al (radioactive), respectively. 

Have a nice day!

Frequency = 1/T
Based on the equation, determine what happens to the period, T, as the frequency increases

Answers

By definition, the period (T) is the time a cycle lasts and the frequency is the number of cycles per second.

 The equation Frequency=1/T, indicates that the period (T) is inversely proportional to the frequency. This means that when the frequency decreases, the period increases and when the frequency increases, the period decreases.

Answer:

the answer is B decreases

Explanation:

Why can't we see all types of waves in the electromagnetic spectrum?

Answers

The majority of EM waves are outside of "visible light spectrum." Humans have evolved to perceive just this narrow range of cisible colors, an no more.

In the equation for Hooke’s Law, F = –kx, the term k represents the spring constant of a spring. True or False
the answer is True

Answers

yes it represents the spring constant
The answer would be true

the table shows information about the moons of mars what is the orbital period of deimos?
A. 0.0806 days
B. 0.798 days
C. 1.26 days
D. 1.59 days
#please #asap

Answers

The table is missing, however I found the value of the orbital period of Deimos on the web:
[tex]t=30.4 h[/tex]
So, 30.4 hours. With a simple proportion we can convert it in days:
[tex]1 d: 24 h=x:30.4 h[/tex]
from which we find
[tex]x= \frac{30.4}{24}=1.26 d [/tex]
So, 1.26 days, which corresponds to answer C). 

The table shows information about the moons of mars what is the orbital period of Deimos 1.26 days.

What is time period?

The amount of time a given astronomical object takes to complete one orbit around another object.

The table is missing, however I found the value of the orbital time period of Deimos on the web:

t = 30.4 hours

So, 30.4 hours. With a simple proportion we can convert it in days:

1 d: 24 h = x : 30.4 h

from which we find

x = 1.26 day

So, 1.26 days,

The table shows information about the moons of mars what is the orbital time period of Deimos 1.26 days.

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How does the capacitance of two identical capacitors connected in series compare to that of one of the capacitors?

Answers

Don't add, whatever you do. This is how it should be done.

1/c = 1/c1 + 1/c1
1/c = (c1 + c1)/(c1*c1)
1/c = 2c1/c1^2 = 2/c1
c = c1/2 divide the value of one of the  original capacitors by 2.

It means that whatever the value of one of the 2 capacitors is, you get the result of the two capacitors by dividing the value of one of them by 2.

It is similar to the result of putting 2 equal resistors in parallel. 

When driving at night switch to low-beams whenever you come within ___ ft of an oncoming vehicle.
A. 300
B. 500
C. 200

Answers

Answer:

500 ft

Explanation: One must dim their high-beam lights when the oncoming vehicle is  500 ft away so that the oncoming driver can look clearly and drive safely. High beam light should be used at night to drive safely when one is not able to see ahead of the road clearly. Even for the most experienced drivers low visibility is an issue.

Final answer:

You should switch to low-beams when you come within 500 feet of an oncoming vehicle when driving at night to avoid blinding other drivers, equivalent to about 1.5 American football fields.

Explanation:

When driving at night, it is recommended to switch to low-beams whenever you come within 500 feet of an oncoming vehicle. This is important as it helps to prevent blinding the other driver with your vehicle's headlights, making the roads safer for everyone. To put the distance into perspective, 500 feet is approximately the length of 1.5 American football fields.

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A soccer ball has 1200 j of kinetic energy and a mass of o.8 kg what is the speed of the ball when it is kicked

Answers

F=MA
1200 j = (0.8 kg)(A)
1200 j / 0.8 kg = A
A= 1500 m/s^2 

you decide to measure the mass of an aircraft carrier in the CGS system.What unit does your measurement end up in?

Answers

pounds I believe? if not then I recommend google :)

8. A 0.500 kg model rocket is initially pushed upwards by a thrust force of 15N. If the force of air resistance is 1.00 N, what is the initial acceleration of the rocket?

Answers

Resultant force = ma

15N - 1N = 0.5kg(a)
a = 14/0.5
a = 28 m/s2

Answer:

a = 18.19 [tex]m/s^{2}[/tex]

Explanation:

Given

Mass of the rocket m = 0.500 kg

upward force [tex]F_{up}[/tex] = 15 N

Air Resistance [tex]F_{Res}[/tex] = 1.00 N

Solution

Net force = Upward forces - downward forces

Net force = Upward force - (air resistance + weight)

[tex]F_{net} = x_{up} -(F_{Res} +mg )\\\\F_{net} = 15 -( 1 + 0.5 \times 9.81)\\\\F_{net} = 15 - (1+ 4.905)\\\\F_{net} = 9.095[/tex]

Net acceleration

[tex]a = \frac{F_{net} }{m} \\\\a = \frac{9.095 }{0.5}\\\\a = 18.19 m/s^{2}[/tex]

Which happened after the electromagnetic and weak nuclear forces were separated from the unified force?

Answers

-release of first light
-nucleosynthesis
-formation of stars and galaxies
-formation of elementary particles
Final answer:

The separation of the electromagnetic and weak nuclear forces from the unified electroweak force led to distinct electromagnetic and weak forces as the universe cooled, which contributed to the conditions necessary for the formation of nucleons.

Explanation:

After the electromagnetic and weak nuclear forces were separated from the unified electroweak force, the universe progressed towards the age of nucleons where leptons and hadrons, including protons and neutrons, were in thermal equilibrium. The electroweak force, which combined the electromagnetic and weak nuclear forces at very high temperatures and densities present in the early universe, broke into distinct forces as the universe cooled down. This occurred shortly after the strong nuclear force had already separated from the electroweak force. Importantly, the electric and magnetic forces, despite being different aspects of the single electromagnetic force, remain unified and do not separate under cooler conditions because they rely on each other.

Please answer as soon as possible!
A 3.0 cm object is 12.0 cm from a convex mirror that has a focal length of 20.0 cm.
What is the distance of the image from the mirror?
____cm
What is the height of the image?
___cm

Answers

(a) The mirror equation which relates the focal length f, the distance of the object [tex]d_o[/tex] and the distance of the image [tex]d_i[/tex] is 
[tex] \frac{1}{f}= \frac{1}{d_o} + \frac{1}{d_i} [/tex]
where for sign convention we take the focal length of a convex mirror as negative : [tex]f=-20 cm[/tex].
Since we know the distance of the object from the mirror, [tex]d_o=12 cm[/tex], we can find the distance of the image:
[tex] \frac{1}{-20}= \frac{1}{12} + \frac{1}{d_i} [/tex]
from which 
[tex]d_i=-7.52 cm[/tex]
where the negative sign means the image is virtual (located behind the mirror).

(b) We can find the height of the image through the magnification (M) equation:[tex]M= \frac{h_i}{h_o}= -\frac{d_i}{d_o} [/tex]
where [tex]h_i[/tex] and [tex]h_o[/tex] are the height of the image and the object, respectively
.Using [tex]h_o=3 cm[/tex] we can find [tex]h_i[/tex]:
[tex]h_i=h_o ( \frac{-d_i}{d_o})=(3 cm)( \frac{7.52 cm}{12 cm} )=1.88 cm [/tex]
where the positive sign means the image is upright.

Answer:

-30 and 7.5

Explanation:

A spring with a spring constant k of 44 n/m is stretched a distance of 14 cm (0.14 m) from its original unstretched position. what is the increase in potential energy of the spring? j

Answers

The elastic potential energy of a spring is given by
[tex]U= \frac{1}{2} k x^2 [/tex]
where k is the spring's constant and x is the displacement with respect to its unstretched position. 

The initial potential energy of the spring is zero, because it is in unstretched postion, therefore x=0. The final potential energy is instead, using [tex]k=44 N/m[/tex] and [tex]x=0.14 m[/tex],
[tex]U_f = \frac{1}{2} (44 N/m)(0.14 m)^2 = 0.43 J[/tex]

And so, the increase in potential energy is 
[tex]\Delta U=U_f - U_i = 0.43 J-0 J=0.43 J[/tex]

A light beam in air strikes the surface of water at an angle of 35° to the normal. When it enters the water it bends toward the normal, making an angle of 25.5° to it. The velocity of light in air is approximately 300,000 km/s. What is the approximate velocity of light in water? A. 77,000 km/s B. 225,000 km/s C. 278,000 km/s D. 341,000 km/s

Answers

Quick Answer B
============
Sin(A)/Sin(B) = v1/v2
A = 25.5
B = 35
v2 = 300,000 km/hr
v1 = ???
Note that this is an inverse relationship.
Sin(25.5)/Sin(35) = v1/300000
v1 = [sin(25.5)/sin(35)] * 300000
sin(A) = 0.4305
Sin(B) = 0.5736
v1 = (0.4305)/0.5736 * 300000
v1 = 225000

A helicopter is traveling at 86.0 km/h at an angle of 35° to the ground. What is the value of Ax? Round your answer to the nearest tenth. km/h

Answers

Yeah it is 70.4 for the Ax one and 49.3 for the Ay.

Final answer:

The value of Ax, the x component of the velocity of the helicopter, is approximately 70.5 km/h.

Explanation:

The question asks to determine the horizontal component of the velocity (Ax) of a helicopter traveling at 86.0 km/h at an angle of 35° to the ground. To find Ax, we can use the cosine component of the given velocity because the cosine of an angle in a right triangle gives the adjacent side over the hypotenuse, which corresponds to the horizontal component over the total velocity.

To find the value of Ax, we can break down the velocity vector of the helicopter into its x and y components. The x component of the velocity can be found using the formula Vx = V * cos(angle), where V is the magnitude of the velocity and angle is the angle with respect to the ground.

In this case, V = 86.0 km/h and angle = 35°. Plugging in these values, we get Vx = 86.0 km/h * cos(35°) = 70.5 km/h.

So, the value of Ax is approximately 70.5 km/h.

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when objects are heated they tend to expand because

Answers

Hello!
===
When objects are heated, their molecules tend to vibrate fast. As they vibrate, the space between each atom increases. This keeps on happening, and the object expands until it has cooled down.
===
Hope this helps! :)

True or False: _____ a) An object will have the same mass on the moon as it does on Earth. _____ b) An object will weigh more on the moon than on Earth. _____ c) If you tried to kick a bowling ball across the surface of the moon, it would be just as hard to accelerate it on the moon as it would on Earth. _____ d) A bowling ball would fall faster on Earth than on the moon.

Answers

A-True
B- False
C-False
D-True
Hope this helps

Which theory argues that language shapes the way that we think?
Functionalist
Durkheimian
Whorfian
Freudian

Answers

The correct answer is whorfianism

what steps are involved in creating hydroelectric power?

Answers

Answer:

Water falls from a reservoir through a channel to a turbine. The water turns the turbines, which allows the generator to make electricity.

It is falling instead of flowing, because elavation is an important part of the hydroeletric power plant, since gravity is a thing, and there was elevation, than it would be falling and not flowing.

Answer:

b

Explanation:

google

One end of a steel bridge is struck by a hammer. The sound produced is transmitted through the bridge and through the air to the other side of the bridge. There is a 1.4 s delay between the arrivals of the two sounds. What is the length of the bridge if the velocity of sound in air is 340 m/s and in steel is 5100 m/s. m

Answers

The sound in steel covers the distance L (length of the bridge) in a time [tex]t_S[/tex], with a velocity [tex]v_S=5100 m/s[/tex]:
[tex]v_S = \frac{L}{t_S} [/tex]
which we can rewrite as
[tex]L=v_S t_S[/tex] (1)

Similarly, the sound in air covers the length of the bridge L in a time [tex]t_A[/tex], with a velocity [tex]v_A=340 m/s[/tex]:
[tex]v_A = \frac{L}{t_A} [/tex]
which we can rewrite as
[tex]L=v_A t_A[/tex] (2)
We also know that the sound in air arrives with a delay of 1.4 s. This means we can rewrite tA as
[tex]t_A = t_S+1.4 s[/tex] (3)

The length of the bridge is always the same, so we can write (1)=(2) and using the information found in (3):
[tex]v_A (t_S+1.4)=v_S t_S[/tex]
Re-arranging, we find
[tex]t_S = \frac{1.4 v_A }{v_S -v_A}=0.1 s [/tex]

And at this point we can find the length of the bridge:
[tex]L=v_s t_S = (5100 m/s)(0.1 s)=510 m[/tex]

Final answer:

The length of the bridge is calculated by solving the equation derived from the sound travel times through air and steel, considering the 1.4 seconds delay. Upon calculation, the bridge length is found to be 476 meters.

Explanation:

To determine the length of the bridge given the time delay of sound arrival between steel and air, we need to establish two equations to represent the travel times of sound through both mediums. The first equation represents the time taken for sound to travel through the air ([tex]t_{air}[/tex]) and the second one for the time taken through steel ([tex]t_{steel}[/tex]). We know that sound travels faster in steel than air, so we can say:

[tex]t_{air}[/tex] = distance / speed in air = L / 340 m/s

[tex]t_{steel}[/tex] = distance / speed in steel = L / 5100 m/s

The delay between the two sounds was given as 1.4 seconds, so we can set up the following equation:

[tex]t_{air} - t_{steel}[/tex] = 1.4 s

(L / 340 m/s) - (L / 5100 m/s) = 1.4 s

Now, we solve for L (the length of the bridge), which results in:

L = 1.4 s / ((1/340 m/s) - (1/5100 m/s))

Upon calculation, L = 476 m

Therefore, the length of the bridge is 476 meters.

Give an example of nonpoint-source pollution

Answers

Nonpoint source pollution is pollution that affects bodies of water, so remembering this can help in the future with this type of question. Some examples of nonpoint source pollution are; Excess fertilizers and herbicides, oil and toxic chemical runoff, as well as sediment from eroding stream banks. I hope this helps :)

22)Identify one piece of evidence that led astronomers to infer that the universe is expanding?
23)Identify the force that caused stars and planets in the universe to become layered according to density differences in their composition?
24)Identify the nuclear process that combines lighter elements into heavier elements to produce the energy radiated by stars?

Answers

22) One of the first (and strongest) evidences that universe is expanding is Hubble's observation of the redshift of galaxies. In fact, Hubbles studied the light coming from distant galaxies, and by analyzing the redshift of the wavelength of the light coming from those galaxies, he understood that the distance of those galaxies from us were increasing, and so that the universe is expanding.

23) The force responsible for this effect is gravity. In fact, in a planet or in a star the heavier elements experience a stronger gravitational force, therefore they are attracted to the center of the planet/star, while the lighter elements (that experience a weaker gravitational force) remain in the outer regions of the planet/star, creating a "layered structure" with higher density in the center and smaller density in the outer regions.

24) This process is called nuclear fusion. Nuclear fusion occurs mainly in stars: because of the extremely high temperature, the nuclei of lighter elements are able to overcome the electrostatic repulsion between each other, and they are able to become close enough to be in the range of the strong nuclear interaction: the two nuclei combine together into heavier elements, and the mass lost in the process is converted into energy, according to Einstein's relationship:
[tex]E=mc^2[/tex]

What did the bataan death march foreshadow about the war in the pacific?

Answers

The Bataan Death March foreshadowed that Japan either had no intentions of abiding by international law set in the Geneva Convention. It was either that or they  merely ignored or belittled it.

The Bataan Death March was one of the earliest record of the most severe treatment of Prisoner's of War in the world. During WWII, thousands of Filipino and American troops who surrendered to the Japanese forces in Bataan were made to walk some 65 miles to the POW camp. Whether sick, injured or dying, no medical treatment was given and they all had to march or would be killed.  

A sprinkler sprays water out of a hose with a velocity of 6.3 m/s. if the sprinkler is aimed 25° above the ground, at what distance from the sprinkler does the water hit the ground? ignore air resistance and use 9.8 m/s2 for acceleration due to gravity.

Answers

The step by step solution would be:

1. Look for the vertical component of spray, this is calculated by: (sin 25 degrees x 6.3) =2.662 m/sec. 

2. Then look for the time to max height = (v/g) = 2.662/9.8 = 0.272 sec. 

3. Double the amount you got from 2; this is for time to reach the ground, = 0.544 sec. 

4. Then compute for the horizontal V of spray = (cos 25 degrees x 6.3) = 5.710 m/sec. 

5. So the horizontal distance = (5.710 x 0.544) = 3.106 meters. 

Final answer:

To determine the distance the water hits the ground from the sprinkler, projectile motion principles are applied, separating the initial velocity into horizontal and vertical components and then calculating the time of flight and horizontal distance.

Explanation:

A student asked how far water will hit the ground if a sprinkler sprays water at a velocity of 6.3 m/s, aimed 25 degrees above the ground, ignoring air resistance. To solve this, we use the principles of projectile motion. First, decompose the initial velocity into horizontal (vx) and vertical (vy) components. The horizontal velocity, vx = v × cos(θ) and the vertical velocity, vy = v × sin(θ), where θ is the launch angle and v is the initial velocity.

For a projectile landed on the same level from which it was launched, the time of flight, t, is given by t = 2 × vy / g, where g is the acceleration due to gravity (9.8 m/s2). The horizontal distance, or range, R, is then R = vx × t. Substituting the given values, vx = 6.3 × cos(25°) and vy = 6.3 × sin(25°), we can find t and subsequently R.

__________ are seismic waves that pass through the earth's interior, spreading out from the focus in all directions.

Answers

P-waves and S-waves are seismic waves that pass through the earth's interior, spreading out from the focus in all directions. . P-waves move through solids, liquids, and gases, while S-waves travel only through solids.

Seismic waves are energy waves generated during earthquakes that travel through the Earth's interior, spreading out from the focus.

These waves are categorized into two main types: body waves and surface waves. Body waves, which travel through the Earth's interior, include P-waves (primary waves) and S-waves (secondary waves).Body waves are the first to propagate out from the focus of an earthquake. P-waves are compressional waves that move rock particles forward and backward in the direction of wave travel, allowing them to pass through solids, liquids, and gases. S-waves follow P-waves and are shear waves that move rock particles side-to-side, but they can only travel through solids, not through liquids or gases.Geologists study these seismic waves to understand earthquakes and the Earth's interior structure. As seismic waves travel through different materials, their speed changes, which helps scientists determine the density and composition of various layers within the Earth.

What is the average velocity between 12.00 and 15.00 seconds?

A) 81.0 m/s, east

B)
27.00 m/s, east

C)9.00 m/s, east
D)
0.0123 m/s, east




Answers

Subtract d(15) - d(12), then divide that by 3 because 3 sec between 12-15:
(225-144)/3 = 81/3 = 27m/s
B) 27.00 m/s, east

Answer: The velocity of abject in a given time interval from 12 seconds to 15 sec is 27 m/s.

Explanation:

Displacement of the object after 12.00 seconds = 144 m

Displacement of the object after 15.00 seconds = 225 m

[tex]Velocity=\frac{\text{Change in Displacement}}{\text{Change in time}}[/tex]

[tex]Velocity=\frac{225 m-144 m}{15 s-12 s}=\frac{81 m}{3 s}=9m/s[/tex]

The velocity of abject in a given time interval from 12 seconds to 15 sec is 27 m/s.

Which one of the following statements best describes the just world hypothesis?   A. People deserve what happens to them, whether good or bad.   B. The world is just, but some people don't think it is.   C. People who work hard are superior to those who are lazy.   D. If people act with integrity, they contribute to a just world.

Answers

C. People who work hard are superior to those who are lazy. 

Answer:

A. People deserve what happens to them, whether good or bad.

Explanation:

The Just world hypothesis states that noble actions are rewarded and unjust actions are penalized. This hypothesis states that there is a force in the universe that restores the moral balance. This can be better understood by sayings like "what goes around comes around" and "you got what was coming to you".

So, bad people deserve something bad happening to them and good people also deserve what is happening to them.

You are holding a full bowl of hot soup while standing in the kitchen. As you begin moving, some of the soup spills out of the bowl onto the floor. Upon reflection, you realize that A) the soup spilled because of air resistance. B) if you had traveled faster this wouldn't have happened. C) the soup wanted to stay where it was, but you moved the bowl. D) the soup and the bowl act as one body with the same velocity.

Answers

Final answer:

The spillage of the soup as you began moving is explained by inertia, where the soup wanted to stay in place while the bowl was moved, according to Newton's first law of motion.

Explanation:

When you moved with a bowl of hot soup and it spilled, the reason is related to the concepts of inertia and Newton's first law of motion. According to this law, an object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. In this case, the soup wanted to stay where it was, but you moved the bowl, causing a change in motion for the bowl and not the soup, resulting in the soup spilling. Air resistance is not a significant factor in this context as it primarily affects objects moving through the air and is related to how objects with different surface areas fall at different rates due to the force exerted opposite the motion.

If 1 meter = 3.28 feet, what is the height of the Washington Monument in meters?

Answers

Since you didn't provide how tall the Monument was, I took the liberty to find it and it is 555 feet tall. So to convert to meters we must divide 555 by 3.28 or multiply it by 0.3048 (this is the method I used).
555 x 0.3048 = 169.164 meters

The height of the Washington Monument can be found out by unit conversation.

Units conversion

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

though the real measurement is still the same the units and numerical values have been changed.

The height of the Washington Monument is 554.32 feet.

Given to us1 meter = 3.28 feet

To find

the height of the Washington Monument

Solution

We know that the height of the Washington Monument is 169 meters.

Therefore,

1 meter = 3.28 feet

169 meters = 3.28 x 169 feet

                   = 554.32 feet

Hence, the height of the Washington Monument is 554.32 feet.

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