Question

If at some time of the day the ratio of the height of a vertically standing pole of length of its shadow on the ground is $\sqrt{3}:1$ then find the angle of elevation of the sun at that time.

Answer 1

$x=$ constant of proportionality

let angle of elevation be $\theta$

$\tan \theta =\frac{\sqrt{3}x}{x}=\sqrt{3}=\tan {60}^o$

$\therefore \theta ={60}^o$

Ans : Angle of elevation is ${60}^o$