a boy flies a kite with 100 foot long string. the angle of elevation of the string is 48. how high is the kite from the ground.
Answers
Using the image attached, we know that we should use Sine, because we know the hypotenuse (100 feet) and we want to know the height, or the Opposite (h).
So, we use: sin(48)=h/100 and we multiply both sides by 100 to get:
100sin(48)=h
Now, we just plug the numbers into a calculator. (Make sure your calculator is set to Degrees, or "Deg").
What we get is about 74.3144825... but we can round that to 74.3 feet.
Answer: 74.3 feet.
The height of the kite from the ground is approximately 74.2 feet, calculated using the trigonometric concept of sine. Sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
Explanation:The subject of the question is the height of a kite, a topic in Trigonometry.Trigonometry deals with the relationships between the sides and angles of triangles. In this case, we're given that a boy is flying a kite with a 100 foot string at an angle of 48 degrees. We can use the concept of sine in Trigonometry, where sine of an angle in a right triangle is the length of the opposite side divided by the length of the hypotenuse.
In this case, the height of the kite from the ground forms the opposite side, the 100 foot string forms the hypotenuse, and the angle of elevation given is 48 degrees. We have the equation:
sin(48) = height / 100
Therefore, the height = sin(48) * 100.
Using a calculator to find the sine of 48 degrees, and then multiplying the result by 100, we get the height of the kite from the ground to be approximately 74.2 feet.
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Related Questions
List from least to greatest. 0, |−14|, 13, −12, |−16|, 17
A. |−16|, |−14|, 13, −12, 0, 17
B. −12, 0, 13,|−14|,|−16|, 17
C. −12, |−14|, |−16|, 0, 13, 17
D. 0, −12, 13, |−14|, |−16|, 17
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Lexie needs to buy 105 vases for a party each package has 6 vases how many packages should lexi buy
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what is negative 3 times negative one half
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hope this helps
I need help with 5 & 6 please
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For number 6, the answer is B.
Y are welcome for the help and have a nice day!
Which of the following represents the most accurate estimation of 388 - 212?
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MATH HELPLEASE. WILL GIVE BRAINLIEST!
What is the measure of AC ?
Enter your answer in the box.
Answers
isaac played a video game 20 times and wont about 70% of the games. how many games did he win
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So I would say 14 of his games
We know that Isaac played 20 games and won about 70% of them. Now, we must find what 70% of 20 is, so that we know how many games Isaac won.
First, convert the percentage to a decimal by dividing it by 100.
70% ÷ 100 = 0.70
Next, multiply the total amount of games Isaac played (20) by about how many he won (0.70):
20 × 0.70 = 14
ANSWER:
Isaac won about 14 games.
Yesterday it rained 5/8 inch. Today it rained 1/8 inch. What is the total amount of rain for the two days?
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The total amount of rain for the two days is 2/3 inch.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Yesterday it rained 5/8 inch.
and, Today it rained 1/8 inch.
So, in two days the amount of rain fall
= 5/8+ 1/8
= 6/8
= 2/3
Hence, total amount of rain is 2/3 inch.
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I need help with 3 math questions. Here they are: A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry? From a pile of coins containing nickels (N), dimes (D), and quarters (Q), Tom picked 10 coins with a total value of $1.00. The 10 coins had a different number of each of the three types and at least 1 coin of each type. How many coins of each type did he pick? An Olympiad team is made up of students from the 4th, 5th, and 6th grades only. Seven students are 5th graders, eleven students are 6th graders, and one third of the entire team are 4th graders. How many students are on the team? If you can even answer one question that would be very helpful! Thanks a lot!
Answers
Now we have 8 taking only chemistry, 13 taking only biology, and 12 taking both. Add all those together to get 33.
Subtract 33 from 50 to get 17, which is the number of students taking neither.
2. He had 3 nickels, 1 quarter, and 6 dimes.
This is an equation that represented his coins:
3n + 1q + 6d = 1.00
3 x .5 = .15 1 x .25 = .25 6 x .10 = .60 .60 + .25 = .85 .85 + .15 = 1.00
3. Add together 7 and 11 to get the 5th and 6th graders: 18 students.
The remaining 4th graders make up 1/3 of the team, so 18 is 2/3 of the team.
Find 1/3 by dividing 18 by 2 to get 9.
There are 9 4th graders.
Hope this helps!
HEEEEEEEEEEEEEEEEEEEEEEEELPPPPPPPPPPPPPP
Answers
slope = -9/2
Explanation:
The form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
y = -9/2 x
Comparing the given with the general form, we will find that:
m is the slope = -9/2
c is the y-intercept = 0
Hope this helps :)
y = -9/2
Hope this help you
Mr. Anderson's 5th grade class is getting a class pet. 7 students voted to get a gerbil three voted for fish six voted for a mouse and 4 vote for a lizard. What is the model of the data? What does it mean for this situation?
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What is the answer to 1 and 2?
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2. Half the perimeter is 9.47, so the perimeter rounded to the nearest unit will be 19 units (C).
The sides parallel to the x-axis are 5 units long. The slanted sides have a rise of 4 for a run of 2, so are √(2^2 +4^2) = √20 ≈ 4.47 units long. Then the perimeter is 2(5 +4.47) = 18.94 ≈ 19.
Margaret has been told to draw up plans for a 48 square foot flower bed. How many different size flower beds (using whole foot dimensions) can Margaret draw?
A 48
B 24
C 12
D 5
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2. 2x24
3. 3x16
4. 4x12
5. 6x8
D Margaret can draw 5 possible dimensions
given a and b are numbers,and a+b =180,which statement also must be true ? a=180-b , a-180=b , 360=2a+2b, a=90 and B=90
Answers
because you just subtract b from both sides
The statement 'a=180-b', '360=2a+2b', and 'a=90 and b=90' must be true given that a+b=180.
Explanation:To determine which statement must also be true given that a+b=180, we can substitute the value of a+b in each statement.
a=180-b: If we substitute a+b=180, we get 180-b+b=180. This simplifies to 180=180, which is always true. So, the statement a=180-b must be true.
a-180=b: If we substitute a+b=180, we get a-180+b=0+b. This simplifies to a-180=0, which is not always true. So, the statement a-180=b is not always true.
360=2a+2b: If we substitute a+b=180, we get 360=2a+2b. This simplifies to 360=360, which is always true. So, the statement 360=2a+2b must be true.
a=90 and b=90: If we substitute a+b=180, we get 90+90=180. This simplifies to 180=180, which is always true. So, the statement a=90 and b=90 must be true.
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Is my math answer correct or no?
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Hope this helps!
evaluate the volume of the cone.Use ñ=3.14
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The circumference of the base is 40 cm, and this equals 2*pi*r. The radius, r, is found as follows:
40 cm
r = ------------ = 6.369 cm. The area of the base, A = pi*r^2, = 3.14*40.570
2(3.14)
The volume here is V = (1/3)(area of base)*(height)
= (1/3)(127.45)(9) cm^3 = 382.36 cm^3 (answer)
Katenka cross country skied a trail that was 3/4 mile each way. after skiing 2/3 of the trail she turned around. What fraction of a mile did katenka ski before she turned around. And I'm sorry that is her name katenka
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To find this distance you multiply 2/3 and 3/4. Multiple across the top (numerators) and across the bottom (denominators) to get 6/12 or 1/2 mile.
You can also cross cancel the 2 and the 4 to make them 1 and 2 and then multiply straight across.
help me please i dont know the ans
Answers
y = x - 80
Explanation:
The equation of line in slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
To get the slope, we will need two points from the graph. I will choose the two (0,-80) and (60,-20)
slope = (y2-y1) / (x2-x1) = (-20--80) / (60-0) = 1
The equation now is:
y = 1x + c
y = x + c
2- getting the y-intercept:
To get the y-intercept, we will choose a point from the graph, substitute with this point in the equation and solve for c.
I will choose point (0,-80)
y = x + c
-80 = 0 + c
c = -80
Based on the above, the equation of the line is:
y = x - 80
Hope this helps :)
what is the slope of the line?
A. 0
B. 6
C. 9
D. undefined
Answers
Answer:
Option A 0
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(2,9)\ B(4,9)[/tex]
Substitute the values
[tex]m=\frac{9-9}{4-2}[/tex]
[tex]m=\frac{0}{2}=0[/tex]
State a true conclusion.
1) If it is June, then it is summer.
2) It is summer.
Conclusion:
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In the conditional logic given, 'If it is June, then it is summer' and 'It is summer', we can infer the conclusion 'It can be June'. However, it is important to note this is a potential conclusion and not a definite one since other months exist in the summer. This kind of conclusion is an example of the converse fallacy, or affirming the consequent.
Explanation:The question provided presents a logical statement in the form of a conditional statement. In logical reasoning and mathematics, a conditional statement is a statement of the form 'if P then Q', where P and Q are both statements. Here, the statement 'If it is June, then it is summer' is the given condition. The statement 'It is summer' is the second statement. A conclusion can be drawn using both of these statements. According to the rules of the logic, we can conclude that 'It can be June.' Remember, we cannot definitively say it 'is' June because there could be other months during the summer. This type of conclusion comes under the inference rule known as the 'converse fallacy' or 'affirming the consequent', where if the consequent (Q - the 'then' clause) is true, the antecedent (P - the 'if' clause) might also be true, but it could also possibly be false due to other factors.
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Jordan has 11.40 to spend at the used book store.each book costs 2.85. How many books can Jordan buy
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11.40/2.85 = 4
If a polynomial has one root in the form a - √b, it has the second root on the form of a _√b?
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Polynomials with rational real coefficients have irrational or complex roots in conjugate pairs. A root with a positive irrational or imaginary part will be matched by a root with a negative irrational or imaginary part.
The second root will be a + √b the missing sign is positive because the roots are always in the pair.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
The quadratic formula:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Here the roots are in pairs:
One root is a - √b
The second root will be a + √b
Thus, the second root will be a + √b the missing sign is positive because the roots are always in the pair.
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A rectangle has vertices at these coordinates.
(1, 7), (1, 3), (9, 3)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
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Hope I could help!
~Marshy
Is the answer b? I'm not sure.
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Your cell phone company charges $40 per month for one phone, plus an additional $5 per moth for each extra phone. Write an expression to represent the cost of a plan with x phones.
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An old road was 3.95 miles long. After a renovation it was 3.81 times as long. How long was the road after the renovation?
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The road was 15.0485 miles long after the renovation.
Hope this helps!
PLEASSSEE HELPP WITH THIS MATH!!!
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1) rt(64) is a rational number, because it breaks down into 8 x 8 , which can be moved outside the root (if there is a pair of numbers, it is moved out of the root and considered a whole number)
2) rt(84) is considered a irrational number, because it equals 9.16515138991...
3) B and D, for rt(25) = 5, and 1.15 have an end to the number, and does not continue forever
hope this helps
A round above-ground swimming pool has a diameter of 15 ft and a height of 4.5 ft. What is the volume of the swimming pool?
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figure 1 is dilated to get figure 2.
What is the scale factor.
enter your answer, in simplest form, in the box
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Always put the image on top when you are trying to make it into a fraction, and put the pre-image on the bottom. Since the image is 18 we put the it on top and the 8 (pre-image) on the bottom 18. 18/8. Divide it. 18 ÷ 8.
Final answer: 2.25
plz help rohanfighter, ur the smartest
Answers
Hole this helped!
Please mark me as brainlyiest if correct!
let us just say that it is 3000 miles
It is 12 inches from NYC to LA by the string and map
divide 3000 and 12 together
3000/12 = 250
250 miles is your answer
hope this helps