The angle of depression from an airplane to the top of an air traffic
1 answer:
<h3>Answer: approximately 8600.33397283284 feet</h3>
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.
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