Question

If a pole $12m$ high casts a shadow $4\sqrt{3}m$ long on the ground then the angle of elevation is

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

Answer 1

Answer: (C)

${60}^{\circ }$

Here,

Height of pole = $12$ $m$

Length of shadow = $4\sqrt{3}$ $m$

Now, angle of elevation, $\tan \theta =\frac{perpendicular}{base}$

$\tan \theta =\frac{12}{4\sqrt{3}}=\frac{3}{\sqrt{3}}=\sqrt{3}$

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

Hence, $\theta ={60}^o$

Hence, option (c) is correct.