Question

when the length of shadow of vertical pole is equal to root 3 times of its height, find the angle of elevation of the sun's altitude

Answer 1

the answer is.......

Answer 2

Answer:

The angle of elevation of the sun's altitude will be equal to 30°.

Explanation:

Consider the height of vertical pole is equal to h

Given, the height of shadow  $=\sqrt{3}h$

Let's construct a triangle ABC, where AB = h is height of the pole and BC is length of shadow and θ is angle of elevation.

We know,  $tan\theta=\frac{Perpendicular}{Base}$

⇒  $tan\theta=\frac{AB}{BC}$

⇒   $tan\theta=\frac{h}{\sqrt{3} h}$

⇒   $tan\theta=\frac{1}{\sqrt{3} }$

∴   $tan\theta=30^{o}$

Therefore, the angle of elevation is equal to 30°.