Question

Question 8
Find the angle of elevation of the Sun when the shadow of a pole "h" m high is "$\sqrt{3}$ h" m long.

Answer 1

Let the angle of elevation of the Sun is $\theta$.

Given, height of pole = h

Now, in $\Delta ABC$,

$tan\theta =\frac{AC}{BC}=\frac{h}{\sqrt{3}h}$

$\Rightarrow tan\theta =\frac{1}{\sqrt{3}}=tan{30}^{\circ }\Rightarrow \theta ={30}^{\circ }$

Hence, the angle of elevation of the Sun is ${30}^{\circ }$.