Question

The angle for which maximum height and horizontal range are same for a projectile is

• A. $32^\circ$
• B. $48^\circ$
• C. $76^\circ$
• D. $84^\circ$

Answer 1

Answer: (C)

$76^\circ$

Answer 2

Given H = R
$\therefore \frac{ u^2 \, \sin^2 \, \theta }{ 2 g } = \frac{ u^2 \, \sin \, 2 \, \theta }{ g }$
$\frac{ \sin^2 \, \theta }{ 2 } = 2 \, \sin \, \theta \, \cos \, \theta$
$\frac{\sin \, \theta }{ \cos \, \theta } = 4 \Rightarrow an \, \theta = 4$
$\therefore \theta = \tan^{ - 1} \, ( 4 ), \, \theta \approx 76^\circ$