Question

Q-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 in the lake is 60 degree. find the height of the cloud from the surface of the lake?
STEP BY STEP EXPLANATION

Answer 1

your answer is 120m

see it

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 .