A) \[{{43}^{o}}8'\]
B) \[{{25}^{o}}8'\]
C) \[{{33}^{o}}7'\]
D) \[{{53}^{o}}1'\]
Correct Answer: D
Solution :
Horizontal range of a body is given by \[R=\frac{{{u}^{2}}\sin 2\theta }{g}\] where \[\theta \] is the angle at which body is projected. The greatest height of body is given by \[H=\frac{{{u}^{2}}{{\sin }^{2}}\theta }{2g}\] Given, \[R=3H\] \[\frac{{{u}^{2}}\sin 2\theta }{g}=3\times \frac{{{u}^{2}}{{\sin }^{2}}\theta }{2g}\] or \[2\sin \theta \cos \theta =\frac{3}{2}{{\sin }^{2}}\theta \] or \[\tan \theta =\frac{4}{3}\] \[\therefore \] \[\theta ={{\tan }^{-1}}\left( \frac{4}{3} \right)={{53}^{o}}1'\]
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