Question

The angel of elevation of the cloud from a point 60 m above a lake is 30 degree and the angel of depression of the reflection of the cloud 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.

Step-by-step explanation:

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