Question

The angle of projection at which the horizontal range and maximum height of projectile are equal is

• A. $45^{o}$
• B. $\theta = \tan^{- 1}(0.25)$
• C. $\theta = \tan^{- 1}4$or $(\theta = 76{^\circ})$
• D. $60^{o}$

Answer 1

Answer: (C)

$\theta = \tan^{- 1}4$or $(\theta = 76{^\circ})$

Answer 2

$R = 4H\cot\theta.$

When $R = H$ then $\cot\theta = 1 ⥂ / ⥂ 4 \Rightarrow \theta = \tan^{- 1}(4)$