Question

If the height of a tower and the length of its shadow is equal, then the value of the angle of elevation of the sun is-

• A. ${30}^{\circ }$
• B. ${45}^{\circ }$
• C. ${60}^{\circ }$
• D. None of these

Answer 1

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

$\tan \theta =\frac{height}{shadow}$

Here the height is equal to the shadow

$\tan \theta =\frac{height}{height}=1$

$\tan \theta =1$

$\theta ={45}^o$