Question

A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is

• A. ${25}^{\circ }{8}^{\prime }$
• B. ${33}^{\circ }{7}^{\prime }$
• C. ${42}^{\circ }{8}^{\prime }$
• D. ${53}^{\circ }{8}^{\prime }$

Answer 1

The correct option is D ${53}^{\circ }{8}^{\prime }$

$R=4Hcot\theta ,IfR=3Hthencot\theta =\frac{3}{4}\Rightarrow \theta ={53}^{\circ }{8}^{\prime }$