The angle of elevation of the sun when the length of the shadow of a pole is equal to its height is:

Correct option is D

Given:

The length of the shadow of a pole is equal to its height.

Formula Used :

tan(θ) = $$\frac{\text{Perpendicular}}{\text{Base}}$$​​

Solution:

Let the height of the pole be 'h'.

The length of the shadow is also 'h'.

tan(θ) =$$\frac{\text{Perpendicular}}{\text{Base}} = \frac hh$$​= 1

tan(45°) = 1.

Therefore, θ = 45°.

Therefore, the angle of elevation of the sun is 45°.