SOLUTION: Two stations A and B are 2,000m apart. When an airplane was directly above A, an observer at B found that the angle of elevation of the airplane is 60° . How far is the plane from

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Question 914195: Two stations A and B are 2,000m apart. When an airplane was directly above A, an observer at B found that the angle of elevation of the airplane is 60° . How far is the plane from the station B??
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two stations A and B are 2,000m apart.
When an airplane was directly above A, an observer at B found that the angle of elevation of the airplane is 60°
How far is the plane from the station B??
:
A right triangle is formed by A, B, and the plane. The distance from B to the plane is the hypotenuse (h)
Use the cosine; side adjacent/hypotenuse
cos(60) = 2000%2Fh
h = 2000%2Fcos%2860%29
h = 4000 meters from B to the plane