Question

from a point 100m above a lake the angle of elevation of the stationary helicopter is 30degree and the angle of depression of reflection of the helicopter above the lake is 60 degree find the height of the helicopter above the lake

Answer 1

Answer: Here's your answer in the image below.

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Answer 2

This is the diagram.
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Let CF=(h-x)m.
Hence,CD=(100+CF) m. (Since,BA=FD)
BA=100 m(Given)
BA=FD
=>h=(100+CF) m.
In ∆BAD,
tan60°=BA/DA
=>√3 = 100/DA
Hence,DA=100/√3 m.
Hence,x=100√3 m.
Now,In ∆CFB,
tan30°=CF/FB = 1/√3.
=CF/x=1/√3
Hence,CF = x/√3
x=100√3 m
=>CF=100 m.
Therefore,total height is 100+100 = 200 m.

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