Question

If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is

(a) $0^{\circ }$

(b) ${30}^{\circ }$

(c) ${45}^{\circ }$

(d) ${60}^{\circ }$

Answer 1

In right angle ΔABC, AB represents the vertical pole and BC represents the shadow on the ground.θ represents angle of elevation the sun.

tan θ = h / x

But length of shadow = height of the tower, i.e. h = x.

tan θ = h/ h = 1

$\tan \theta =tan{45}^{\circ }$

$\theta =tan{45}^{\circ }$

Thus, angle of elevation of the sun = ${45}^{\circ }$