A body is projected at such an angle that

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

A

${25^o}8'$

B

${33^o}7'$

C

${42^o}8'$

D

${53^o}8'$

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

$R = 4H\cot \theta ,$

If $R=3H $ then $\cot \theta = \frac{3}{4} ⇒ \theta = 53^\circ 8'$