If the height of a vertical pole is √3 times the length of its shadow on the ground, then the angle of elevation of the sun at that times is

Question

Philoid · Accepted Answer

Consider the height of tower be √3 h
∴ height of shadow =h .
In a triangle ABC,

tan ∠ACB =

tan ∠ACB = √3

∠ACB = 60°.
Therefore, angle of elevation is 60° (∵ tan 60° = √3)