Question

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The angle of elevation of a bird from a point 40m above a lake is 30° and the angle of depression of its reflection in the lake is 60°. Find the height of the bird.


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Answer 1

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Answer 2

 Let the bird be at point C and angle of elevation from point A which is at a height of 60m above the lake BE . Let the height of the bird from the surface of the lake be CE = h metres Hence the reflection of bird in the lake F will be at the same distance ‘h’ metres from the surface of the lake. Let AD = BE = x metres Also we have AB = 50 m ⇒ CD = (h – 50) m In right ΔADC, θ = 30°  In right ΔADF, θ = 60°  Thus the height of the bird from the surface of the lake is 75 metres.