Question

The ratio of the height of a tower and the length of its shadow on the ground is√3:1 what is the angle of elevation of the sun

Answer 1

Let height of the tower is H meter & height of shadow is h meter
Then,tan theta=H/h=√3
=tan60°
So theta=60°
Thanks

Answer 2

Answer: The angle of the elevation of the sun is 60°.

Step-by-step explanation:

Since we have given that

Ratio of the height of a tower and the length of its shadow is given by

$\sqrt{3}:1$

So, we will use tangent of triangle to find the angle of elevation:

$\tan \theta=\dfrac{\text{Height of tower}}{\text{Length of shadow}}\\\\\tan \theta=\dfrac{\sqrt{3}}{1}\\\\tan \theta=\tan 60^\circ\\\\\theta=60^\circ$

Hence, the angle of the elevation of the sun is 60°.