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

Solution:

Consider AB as the pole and CB as its shadow

θ is the angle of elevation of the sun

Take AB = x m and BC = x m

We know that

tan θ = AB/CB = x/x = 1

So we get

Hence Proved