Question

The angle of elevation of a cloud from a point 200 m above the lake is 30° and the angle of depression of the reflection of the cloud in the lake is 60°. Find the height of the cloud.

Answer 1

Let AB be the surface of the lake and let P be a point of observation such that
AP = 200 m. Let C be the position of cloud and C′ be its reflection in the lake. Then
CB = C′B
Let CM = x
Then CB = CM + MB = x + 200
In ∆CPM, we have

Height of cloud = x + 200 = 400 m