The pilot of a glider plane wants to estimate his altitude. He picks a landmark ahead and measures the angle of depression to be 20 degrees. He flies another 800 feet towards the landmark, remaining at the same altitude. The angle of depression from his new location to the same landmark is now 21.4 degrees. What is the glider's altitude?
Answers
Answer:
4,000 ftExplanation:
The figure attached shows sketches the situation described.
You have two right triangles.
For the right triangle with the plane on the position A, you can write:
tan(20º) = H/(800 + x)⇒ H = (800 + x) tan(20º)
For the right triangle with the plane on the position B, you can write:
tan(21.4º) = H/x⇒ H = x tan(21.4º)
To solve, equal both equations:
x tan(21.4º) = (800 + x) tan(20º)x tan(21.4º) = 800 tan(20º) + x tan(20º)x = 800 tan(20º) / ( tan(21.4º) - tan(20º) )x = 10,426.9 feetSubstitute in the equation H = x tan(21.4º)
H = 10,426.899856 × tan(21.4º) = 4,086 ftRounding to one signficant figure that is 4,000 ft.
Related Questions
A turtle challenges the greek warrior to race outside the gates of Troy. Achilles accepts. The turtle and Achilles start from the gates of Troy and race in a straight line away from the city. They keep a constant speed throughout the race. During the race, Achilles is f meters from the gates while the turtle is only g meters from the gates.
Answers
Answer:
B
Step-by-step explanation:
khan
o
Which description can be written as the expression 66+5?
the difference of six times a number and five
O the sum of six times a number and five
0 the quotient of six times a number and five
the product of six times a number and five
Answers
I hope this helped! Mark me Brainliest! :) -Raven❤️
Answer:
B
Step-by-step explanation:
Pia a circumference of approssimately 75 inches
What is the approximate length of the radius,
for 2. Round to the nearest inch
Use 3.14
12 inches
24 inches
38 inches
46 inches
Answers
Answer:
radius: 12 inches or OPTION A
Step-by-step explanation:
C = 2r × 3.14
75 = 2r × 3.14
23.885 = 2r
r = 11.94
Help please, if you're a troll then don't come on here.
Answers
Answer:
If there are 16 pounds in one ounce, and you have 96 ounces then you must divide 96 by 16. That would mean there are 6 pounds in 96 ounces.
Step-by-step explanation:
So to answer the blocks you must divide the number of ounces by the unit rate. There are 16 ounces per pound.
negative 8/9 divided by 2/3
Answers
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Step 1: Divide
[tex]\frac{8}{9} / \frac{2}{3}[/tex]
[tex]\frac{8}{9} * \frac{3}{2}[/tex]
[tex]\frac{8 * 3}{9 * 2}[/tex]
[tex]\frac{24/6}{18/6}[/tex]
[tex]\frac{4}{3}[/tex]
Answer: [tex]\frac{4}{3}[/tex]
I need the answer for p
Answers
Answer:
D, a = 13
Step-by-step explanation:
A is larger than 12 and the only number bigger than 12 on that paper is 13.
What is 0.05% of 400? Round to the nearest hundredth (if necessary).
Answers
Answer:
.2
Step-by-step explanation:
Whenever we see "of," we know we have to multiply.
.05% = .0005 in decimal form, so
.0005 * 400 = .2
Answer:
.2
Step-by-step explanation:
hope this helps
stay safe :)))
brainliest is appreciated
there is someone who keeps reporting my answers, copying them, and accusing me of doing it and their name is nasa619 so im sorry if that happens :((
test achievement series.com/asot.aspx
Alice wants her cat to lose some weight. If she wants her cat to lose weight at a rate of 2 lbs per month, which graph represents this rate of loss?
1
Cat Weight Loss
Cat Weight Loss
x
Weight (lbs)
öö
Weight (lbs)
0
5
# of Months
1 2 3 4
#of Months
Cat Weight Loss
Cat Weight Loss
L
ū8
right (lbs
ight (lbs)
Answers
Cat weigh loss
X weight (lbs)
A playground has perimeter of 5225 ft what is the perimeter in yards?
Answers
Answer:
1741.67 yards
Step-by-step explanation:
recall that 1 yard is 3 feet
or
1 foot = 1/3 yards
hence,
5225 feet = 5225 x (1/3) = 1741.67 yards
Answer: 1741.67 yards.
Step-by-step explanation:
Since 3 feet ia a yard, divided 5225 by 3. You get 1741.67. Hope this helps!
how do you write 6.1 x 10^2 in standard form
Answers
The expression [tex]6.1 \times 10^2[/tex] in standard form is 610
How to write the expression in standard form
From the question, we have the following parameters that can be used in our computation:
[tex]6.1 \times 10^2[/tex]
To write [tex]6.1 x 10^2[/tex] in standard form, we need to convert it into a regular number.
using the above as a guide, we have the following:
[tex]6.1 * 10^2 = 6.1 * 100[/tex]
Evaluate
[tex]6.1 * 10^2 = 610[/tex]
Hence, the expression in standard form is 610
NEED HELP ASAP! 10 points
Answers
Answer:
C. 6 gallons < 25 quarts.
E. 80 pints = 40 quarts.
Step-by-step explanation:
A. There are 8 fluid oz in 1 cup.
Multiply 8 with 6:
6 cups x 8 = 48 fl oz.
44 fl oz < 48 fl oz ∴ A. is false.
B. There are ~6.67 pints in 1 gallon.
Multiply 6 gallon with 6.67:
6 gallon x 6.67 = ~40.02 pint.
47 pint > 40.02 pint ∴ B. is false.
C. There is 4 quarts in 1 gallon.
Multiply 6 gallons with 4:
6 gallon x 4 = 24 quarts.
24 quarts < 25 quarts ∴ C. is true.
D. There is 4 cups in 1 quarts.
Multiply 7 with 4 and add 4:
7 quarts x 4 = 28 + 4 = 32
32 cups < 34 cups ∴ D. is false.
E. 1 quart = 2 pint
You are given 80 pints:
80/2 = 40 quarts ∴ E. is true.
~
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
A. 7.5π cm^2
B. 8.625π cm^2
C. 10.5 π cm^2
D. 19.55π cm^2
Answers
The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.
Step-by-step explanation:
The given is,
Cylinder has a 5 centimeters height
Diameter of the cylinder is 1.5 centimeters
Step:1
Formula for the surface area of cylinder is,
[tex]A=2\pi r h + 2\pi r^{2}[/tex]......................................(1)
Where,
h - Height of cylinder
r - Radius of cylinder
From the values of h and r,
[tex]r=\frac{d}{2}[/tex]
= [tex]\frac{1.5}{2}[/tex]
r = 0.75 cm
From the formula,
= ( 2 × [tex]\pi[/tex] × 0.75 × 5 ) + ( 2 × [tex]\pi[/tex] × [tex]0.75^{2}[/tex] )
= ( 7.5 [tex]\pi[/tex] ) + ( 1.125 [tex]\pi[/tex] )
A = 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex]
Result:
The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.
The surface area of a cylinder is 8.625π cm². Thus, the correct answer is B.
First, calculate the radius of the cylinder, which is half of the diameter:
r = 1.5 cm / 2
= 0.75 cm
Next, find the area of the two circular bases of the cylinder using the formula for the area of a circle, A = πr²:
Area of one base = π(0.75 cm)²
= 0.5625π cm²
Total area of the two bases = 2 × 0.5625π cm²
= 1.125π cm²
Then, calculate the lateral surface area using the formula for the circumference of a circle (C = 2πr) multiplied by the height (h):
Lateral surface area = 2π(0.75 cm)(5 cm)
= 7.5π cm²
Finally, add the areas of the two bases and the lateral surface area to find the total surface area:
Total surface area = 1.125π cm² + 7.5π cm²
= 8.625π cm²
The correct answer is B. 8.625π cm².
Organizar de menor a mayor las fracciones 1/2 1/4 ,3/4,,1
Answers
Answer:
1/4, 1/2, 3/4, 1
Answer: 1/4,1/2.3/4,1
Step-by-step explanation:
1/4=0.25
1/2=0.50
3/4=0.75
1=1
The scale on a map is 1 cm = 30 km. The map distance between two towns is 3.5 cm.
What is the actual distance between the two towns?
Answers
Answer:
The actual distance between the two towns is 105 km
Step-by-step explanation:
Lets use a proportion for this scenario
1/30 = 3.5/?
We see that the numerator is multiplied by 3.5, from 1 to 3.5
So we do the same to the denominator
30 x 3.5 is 105 km
So your answer is 105 km
Answer:105 km
Step-by-step explanation:hope this help u
1. Points A and B are in the first quadrant in the coordinate plane. What might be their coordinates?
2. Points D and E are in the second quadrant in the coordinate plane. What might be their coordinates?
3. Points G and H are in the third quadrant in the coordinate plane. What might be their coordinates?
4, Points J and K are in the fourth quadrant in the coordinate plane. What might be their coordinates?
5. Points M and N are on the y-axis in the coordinate plane. What might be their coordinates?
6. Points Q and Rare on the x-axis in the coordinate plane. What might be their coordinates?
Answers
Quadrant one: positive x and positive y. (5,6)
Quadrant two: negative x and positive y. (-5,6)
Quadrant three: negative x and negative y. (-5,-6)
Quadrant four: positive x and negative y. (5,-6)
the y-axis goes up and down so im guessing the x coordinates will be 0 and the y will be whatever you want it to be. the same goes for the x-axis excepted switched around.
Apologies if I got any of these wrong, and please comment if you are confused so I can explain more.
1.) First quadrant: x > 0, y > 0.
2.) Second quadrant: x < 0, y > 0.
3.) Third quadrant: x < 0, y < 0.
4.) Fourth quadrant: x > 0, y < 0.
5.) On y-axis: x = 0, y ≠ 0.
6.) On x-axis: x ≠ 0, y = 0.
1.) Points in the First Quadrant: In the first quadrant, both x and y coordinates are positive. Therefore, the coordinates of points A and B might be of the form (x, y) where x > 0 and y > 0. For instance, point A might be (3, 4) and point B might be (5, 7).
2.) Points in the Second Quadrant: In the second quadrant, x coordinates are negative and y coordinates are positive. Thus, the coordinates of points D and E might be of the form (-x, y) where x > 0 and y > 0. For example, point D might be (-2, 3) and point E might be (-6, 8).
3.) Points in the Third Quadrant: In the third quadrant, both x and y coordinates are negative. Therefore, the coordinates of points G and H might be of the form (-x, -y) where x > 0 and y > 0. For instance, point G might be (-4, -5) and point H might be (-7, -9).
4.) Points in the Fourth Quadrant: In the fourth quadrant, x coordinates are positive and y coordinates are negative. Thus, the coordinates of points J and K might be of the form (x, -y) where x > 0 and y > 0. For example, point J might be (3, -2) and point K might be (8, -5).
5.) Points on the Y-Axis: Points on the y-axis have x coordinates equal to 0, and their y coordinates can be positive or negative. Thus, the coordinates of points M and N might be of the form (0, y). For instance, point M might be (0, 4) and point N might be (0, -7).
6.) Points on the X-Axis: Points on the x-axis have y coordinates equal to 0, and their x coordinates can be positive or negative. Thus, the coordinates of points Q and R might be of the form (x, 0). For example, point Q might be (5, 0) and point R might be (-3, 0).
Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The table below shows the responses from four students.
Student Responses
Michele
3 t = 8
Piotr
6 t = 8
Ronnie
Negative 1 t = 8
Tanisha
9 t = 8
Which student wrote an equation that is equivalent to Mrs. McAlister’s?
Michele
Piotr
Ronnie
Tanisha
Answers
Answer:
Tanisha wrote an equation that is the same as Mrs. McAlister's equation.
9t = 8
Step-by-step explanation:
Mrs. McAlister wrote an equation on the board is:
10t-4t+3t=8
Now we simplify this
In order to simplify the left side, we combine like terms.
Here 10t, -4t, & 3t are like terms
So, 10t - 4t + 3t is equivalent to 9t
Thus,
9t = 8
This equation is written by the Tanisha.
That's the final answer.
I hope it helps you.
Answer:
Tanisha
Step-by-step explanation:
10t - 4t + 3t = 8 (given)
= 10t - 4t + 3t = 8
= 9t = 8
This is what Tanisha wrote (9t = 8)
Hope this helps, and please mark me brainliest if it does!
Find the area of the triangle that has a base of 16 yd and a height of 9 yd.
72 yd2
144 yd2
25 yd2
50 yd2
Answers
Convert 5/4 into minutes
Answers
Answer:
75 minutes
Step-by-step explanation:
1 /4 = 15 minutes
15 x 5 = 75
hope i helped
Please help!
I really can't figure it out.
Answers
Answer:
x = 5 (pleaaaaaase give branliest)
Step-by-step explanation:
An equilateral triangle is a triangle that has all congruent sides
This means that 30 = 4x + 10
30 - 10 = 4x
20 = 4x
20/4 = x
x = 5
Hope this helps
Answer:
x=5
Step-by-step explanation:
All sides are equal length because it is an equilateral triangle.
30 = 4x+10
Subtract 10 from each side
30-10= 4x+10-10
20 =4x
Divide each side by 4
20/4 = 4x/4
5 =x
An internet company, K-mobile, charges $60 per month for use of up to 100 hours but then charges $100 per month for 100 hours and more. Another company, AK & K, charges $1.50 per hour of use. When is the K-mobile a better deal?
Answers
What are the coordinates of the image ABC after a dilation with center (0,0) and a scale factor of 1/2? HELP ASAP
Answers
Answer:
A: 1,1 B: 2,3 C;3,1
Step-by-step explanation:
Divide each number by 1/2 or times by .5
What is 9/72 in simplest form
Answers
Answer:
[tex]1/8[/tex]
Step-by-step explanation:
Step 1: Divide both top and bottom by 9
[tex](9/9) / (72/9)[/tex]
[tex](1) / (8)[/tex]
[tex]1/8[/tex]
Answer: [tex]1/8[/tex]
Answer: the answer is 1/8
Step-by-step explanation:
Ok use a Calculator to help you.
Last month Margo bought a tree that grows 2.5cm each day. It was 5 cm talk when she bought it and now it is 65 cm tall
Answers
if not then you gotta be more specific but i’m gladly able to help if you provide more info
if it’s asking how long it’s been exactly since she bought it then the answer is it has been 26 days
Help me!!!!!!.......
Answers
Answer:
D
Step-by-step explanation:
The highest point is the vertex, (-3,5), making all y-values less than or equal to 5.
Which is more, 2 pound or 22 ounces
Answers
Answer:
2 pounds. Two pounds is 32 oz. so if 22 oz. is less than 32 (which it obviously is), 2 pounds is more.
Answer:
2 pounds
Step-by-step explanation:
What’s is the solution
4x-12y=-8
-3x+12y=12
Answers
The solution to the system of equations is x = 4 and y = 2.
Let's solve the system of equations:
4x - 12y = -8
-3x + 12y = 12
We can solve this system using the method of addition or elimination. Adding the two equations eliminates y:
(4x - 12y) + (-3x + 12y) = -8 + 12
Simplifying:
4x - 3x = 4
x = 4
Now that we have found x = 4, we can substitute this value back into one of the original equations to solve for y. Let's use the second equation:
-3x + 12y = 12
-3(4) + 12y = 12
-12 + 12y = 12
12y = 12 + 12
12y = 24
y = 24 / 12
y = 2
what’s the size of the missing angle
Answers
Answer:
Option D, 44
Step-by-step explanation:
Step 1: Find the size of the missing angle
All triangles add up to 180 degrees.
[tex]106 + 30 + x = 180[/tex]
Step 2: Combine like terms
[tex](106 + 30) + x = 180[/tex]
[tex]136 + x = 180[/tex]
Step 3: Subtract 136 from both sides
[tex]136 + x - 136 = 180 - 136[/tex]
[tex]x = 44[/tex]
Answer: Option D, 44
Answer:
44
Step-by-step explanation:
106 + 30 = 136
180 - 136 = 44
Find the area of a polygon using the given apothem
Plz anwser, will mark brainest!!
Answers
The temperature at the top of a mountain is 10.8°C less than the
temperature at the base of the mountain. If the temperature at the
base is -4.4°C. what is the temperature at the top? *
Answers
Answer:
-15.2°C
Step-by-step explanation:
-4.4 - 10.8 = -15.2
Hope this helps <3
The temperature at the top of the mountain is -15.2°C.
The solution to the problem:
Given:
The temperature at the base of the mountain is -4.4°C.
The temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain.
Objective:
Determine the temperature at the top of the mountain.
Solution:
Let x be the temperature at the top of the mountain. We know that the temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain, so we can write the following equation:
x = -4.4 - 10.8
Simplifying the right side of the equation, we get:
x = -15.2°C
can 45/5 be simplified
Answers
45/5 Simplified
What is 45/5 Simplified? - 9/1 is the simplified fraction for 45/5. Simplify 45/5 to the simplest form. Online simplify fractions calculator to reduce 45/5 to the lowest terms quickly and easily.
Simplify 45/5
Fraction:
45
------
5
45/5 Simplified
Answer:
45/5 = 9/1 = 9
Simplify 45/5
Simplify 45/5 reduces the fraction 45/5 to the lowest form. You can change the numerator or denominator to simplify any other fraction.