Question

If the ratio of the height of tower and the length of its shadow is 1 : $\sqrt{3}$, then the angle of elevation of the sum has measure ................

• A. 60${}^o$
• B. 45${}^o$
• C. 30${}^o$
• D. 75${}^o$

Answer 1

The correct option is C 30${}^o$

Let AB represents the tower and BC represents the shadow of the tower.
Let $\theta$ be the angle of elevation of the sun.
$tan\theta =\frac{AB}{BC}=\frac{1}{\sqrt{3}}=tan\left({30}^o\right)$
So the angle of elevation of the sun is 30${}^o$.