Question:
Mark the correct alternative in each of the following:
The ratio of the length of a rod and its shadow is $1: \sqrt{3}$. The angle of elevation of the sum is
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Solution:
Let be angle of elevation of sun.
Given that: length of road and its shadow
Here, we have to find angle of elevation of sun.
So we use trigonometric ratios.
In a triangle,
$\Rightarrow \tan C=\frac{A B}{B C}$
$\Rightarrow \tan \theta=\frac{1}{\sqrt{3}}$ $\left[\because \tan 30^{\circ}=\frac{1}{\sqrt{3}}\right]$
$\Rightarrow \theta=30^{\circ}$
Hence the correct option is $a$.