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Question

The angle of elevation of a cloud from a point 60 m/s above the surface of the water a lake is 30o and the angle of depression of its shadow from the same point in water of lake is 60o. Find the height of the cloud from the surface of water.

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Solution

DC=H.

DB=DB=(60+H)

In ECDtan300=DCEC=HEC

EC=3H

In ECDtan600=DCEC=DB+BCEC=60+H+603H

3H=120+H

H=60m

Height of cloud =60+60=120m.

1058132_1038195_ans_aa415bfea9534cf6846b9f235994798e.jpg

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