Question

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

Answer 1

Answer: approximately 8600.33397283284 feet

Round this however you need to.

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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.