Question

the angle of elevation of a cloud from a point 60m above the surface of the water of a lake is 30° and the angle of depression of its Shadow from the same point in water of lake is 60 degree. find the height of the cloud from the surface of water.

Answer 1

Answer:

Step-by-step explanation:

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 .