The angle of elevation of a cloud from a point 60m above the lake is 30 and the angle of depression of its reflection in the lake is 60.find the height of the cloud above the lake?

Let AO = H

CD = OB = 60 m

A' B = AB = 60 + H

 

In ∆ AOD,

Now, In ∆ A'OD,

⇒ 120 + H = 3H

⇒ 2H = 120

⇒ H = 60 m

 

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


 

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