Question

If the horizontal range is four times the maximum height attained by a projectile then the angle of projection is

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

Answer 1

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

Relation between horizontal range and maximum height attained by a projectile is given by,
$\frac{H}{R}=\frac{\tan \theta }{4}$
If $R=4H$,
$\tan \theta =1\Rightarrow \theta ={45}^{\circ }$