Question

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

Answer 1

Answer. Let the cloud be at point C and angle of elevation from point A which is at a height of 60m above the lake BE . Let the height of the cloud from the surface of the lake be CE = h metres Hence the reflection of cloud in the lake F will be at the same distance ‘h’ metres from the surface of the lake. Let AD = BE = x metres Also we have AB = 60 m ⇒ CD = (h – 60) m In right ΔADC, θ = 30° In right ΔADF, θ = 60°  Thus the height of the cloud from the surface of the lake is 90 metres.