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Q.

The angle of elevation of a stationary cloud from a point 2500m above a lake is 15° and from the same point, the angle of depression of its reflection in the lake is 45° then the height of the cloud above the lake, (given that cot150=2+3) in metres is

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a

2500

b

25003

c

25002

d

5000

answer is C.

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Detailed Solution

From   ΔBEF,h+2500=x;

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ΔBDE,cot150=xh2500;2+3=h+2500h2500h=25003

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