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3 years ago

The angle of depression from an airplane to the top of an air traffic

Mathematics

1 answer:

faust18 [17]3 years ago

3 0

<h3>Answer: approximately 8600.33397283284 feet</h3>

Round this however you need to.

===========================

Work Shown:

Check out the diagram below. We have the following points

A = base of the tower
B = point on the ground directly below the airplane
C = top of the tower
D = plane's location
E = point used to form the angle of depression

Based on those points, we know that

AC = 320 = height of tower
BD = 7450 = height of plane
CE = BD - AC = 7450-320 = 7130 = difference between the two heights

Which allows us to find the distance from C to D. Focus solely on triangle EDC. Use the sine ratio to find x.

sin(angle) = opposite/hypotenuse

sin(angle EDC) = CE/CD

sin(56) = 7130/x

x*sin(56) = 7130

x = 7130/sin(56)

x = 8600.33397283284 approximately

Make sure your calculator is in degree mode.

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Correct answers gets most brainiest!! :)

podryga [215]

Hello :)

Answer: x=11

Measure angel BAD= 122

Explanation:

To find X you have to make an equation

10x-49=5x+6

And then you solve for x

To find the angel measure of BAD, you have to add bac and cab to get bad

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Cab= 5(11)+6=61

61+61= 122

Which is the measure of BAD

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x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

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Subtract 14 to both sides:

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