SOLUTION: an observer notices that an aeroplane flies directly overhead. two minutes later the aeroplane is at an angle of elevation of 27 degrees . assuming the aeroplane is travelling with

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Question 950719: an observer notices that an aeroplane flies directly overhead. two minutes later the aeroplane is at an angle of elevation of 27 degrees . assuming the aeroplane is travelling with constant speed , what will be its angle of elevation after another two minutes .
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the horizontal distance the plane covers relative to the ground observer in 2 minutes, X.
tan%2827%29=H%2FX
H=Xtan%2827%29
In another two minutes, the distance will increase to 2X
So then,
tan%28theta%29=H%2F2X
Substituting,
tan%28theta%29=%28Xtan%2827%29%29%2F%282X%29
tan%28theta%29=tan%2827%29%2F2
tan%28theta%29=0.25476
theta=14.3degrees