Question

If the length of the shadow of a pole is equal to the height , of the pole, then the angle of the elevation of the sun is

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

Answer 1

The correct option is D ${45}^{\circ }$

Let AB=h be the pole and let $\angle ACB=\theta$
Let AC be the shadow
Hence, by hypothesis, CA=h
From right angled $△BCA$
$\tan \theta =\frac{h}{h}=1$
$\therefore \theta ={45}^{\circ }$