Question

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

Answer 1

Here length of the shadow of a vertical pole is equal to its height 

Let them both be x m 

Angle of elevation = tan θ = P/B (p = perpendicular, b= base) 

Here p = b = x 

∴ tan θ = x/x 

tan θ = 1 

∴ θ = 45° (∵ tan 45° = 1)