A) \[60{}^\circ \]
B) \[{{\tan }^{-1}}\,(4)\]
C) \[30{}^\circ \]
D) \[45{}^\circ \]
Correct Answer: B
Solution :
Using the formula for rang \[R=\frac{{{u}^{2}}\sin (2\theta )}{g}\] ?(1) And also from the formula for height \[H=\frac{{{u}^{2}}{{\sin }^{2}}\theta }{2g}\] ?(2) According to the condition of question \[R=H\] or \[\frac{{{u}^{2}}\sin 2\theta }{g}=\frac{{{u}^{2}}{{\sin }^{2}}\theta }{2g}\] \[\frac{2\sin \theta \cos \theta }{g}=\frac{{{\sin }^{2}}\theta }{2}\]or \[\tan \theta =4\] So, \[\theta ={{\tan }^{-1}}(4)\]
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