Question

What is the angle of elevation of the Sun when the length of the shadow of a vetical pole is equal to its height?

Answer 1

Let C be the angle of elevation of sun is θ. 

Given that: Height of pole is h meters and length of shadow is h meters. Because length of shadow is equal to the height of pole.

Here we have to find angle of elevation of sun.

So we use trigonometric ratios.

In a triangle ABC, 

`⇒ tan θ=(AB)/(BC)` 

`⇒ tan θ = h/h`

`⇒ tan θ=1`

`⇒θ=45°`

Hence the angle of elevation of sun is `45°`