Question

the angle of elevation of a cloud from a point 60m above a lake is 30 degree and the angle of depression of the reflection of the cloud is in the lake is 60 degree find the height of the cloud from the surface of the lake

Answer 1

Answer:

Let AO = H  

CD = OB = 60m

A'B = AB = 60 + H

In  Δ AOD,

⇒ 120 + H = 3H  

⇒ 2 H = 120  

⇒ H = 60 m

Thus, height of the cloud above the lake = AB + A'B = 60 + 60 = 120 m.

Answer 2

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