Question

The angle of elevation of the sun when the length of the shadow of a pole is √3 times,
then find the height of the pole.​

Answer 1

$\sf\small{ \underline{\underline\red{ \pmb{Solution:-}}}}$

Let the height of the pole (AB) = h .

Length of the shadow (BC) = √3h

Let e denotes the angle of elevation of the Sun.

In ∆ ABC, tan = perpendicular/base

$\tt \: tan \: \theta = \frac{AB}{BC} \\ \\ \tt \: tan \: \theta = \frac{h}{ \sqrt{3}h } \\ \\ \tt \: tan \: \theta= \frac{1}{ \sqrt{3} } \\ \\ \tt \: tan \: \theta = tan \: 30° \\ \\ \tt \theta = 30°$

Hence, the angle of elevation of the Sun is 30°.