Question

what is the angle of elevation of the sun when the length of the shadow of the vertical Pole is equal to his height

Answer 1

The angle may be 45°

Answer 2

Let the angle of elevation of the sun be θ and the length of the pole be h
ATQ,
AB=BC=h
Then,In ΔABC,
AB/BC=tanθ
h/h=tanθ⇒1=tanθ⇒tan 45°=tanθ⇒θ=45°
∴Hence,the angle of the elevation of the sun is 45°.