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in Trigonometry by (47.4k points)
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The angle of elevation of a cloud from a point h metres above a lake is β. The angle of depression of its reflection in the lake is 45°. The height of location of the cloud from the lake is

(1) \(\frac{h(1\,+\,tan\beta)}{1\,-\,tan\beta}\)

(2) \(\frac{h(1\,-\,tan\beta)}{1\,+\,tan\beta}\)

(3) h tan(45° - β)

(4) none of these

1 Answer

+1 vote
by (47.8k points)
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Best answer

(1) \(\frac{h(1\,+\,tan\beta)}{1\,-\,tan\beta}\)

In CPM, 

CB = x + h 

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