Question

A pole $6\text{m}$ high casts a shadow of $2$$\sqrt{3}\text{m}$ on the ground. At that instance, the sun's elevation is :

• A. $30$${}^{\circ }$
• B. $45$${}^{\circ }$
• C. $60$${}^{\circ }$
• D. $90$${}^{\circ }$

Answer 1

The correct option is C $60$${}^{\circ }$

Let the sun's elevation be $\theta$

In $△ABC,\angle A={90}^{\circ }$,

$\therefore \tan \theta =\frac{AB}{AC}=\frac{6}{2\sqrt{3}}$

$=\frac{2\times 3}{2\times \sqrt{3}}=\sqrt{3}$

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