Question

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

• A. $30$
• B. $37$
• C. $45$
• D. $53$

Answer 1

Answer: (D)

$53$

$R=3H$

$\frac{u^{2}sin2\theta }{g}=\frac{3u^{2}si{n}^2\theta }{2g}$

$⟹4sin\theta cos\theta =3si{n}^2\theta$

$\therefore tan\theta =\frac{4}{3}$

$\theta =53$