Question

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

Answer 1

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Answer 2

Answer:

Let A be the cloud and D be its shadow.

BC = 60 m  

Height of cloud = h m .

Total height of cloud = h + 60 m  

In  Δ ABE

h / x = tan 30

x = h √ 3

In Δ BDE

h + 60 + 60 / x  = tan 60

h + 120 = x √ 3

2 h = 120

h = 60 m .

Therefore , height of cloud from surface of water = ( 60 + 60 ) = 120 m .