A) \[45{}^\circ \]
B) \[\text{ }\!\!\theta\!\!\text{ =ta}{{\text{n}}^{-1}}(4)\]
C) \[\text{ }\!\!\theta\!\!\text{ =ta}{{\text{n}}^{-1}}(0.25)\]
D) none of these
Correct Answer: B
Solution :
Given, horizontal range = maximum height \[\Rightarrow \] \[\frac{{{u}^{2}}\sin 2\theta }{g}=\frac{{{u}^{2}}{{\sin }^{2}}\theta }{2g}\] \[\Rightarrow \] \[\frac{2{{u}^{2}}\sin \theta \cos \theta }{g}=\frac{{{u}^{2}}{{\sin }^{2}}\theta }{2g}\] \[\Rightarrow \] \[2\cos \theta =\frac{\sin \theta }{2}\] \[\Rightarrow \] \[\frac{\sin \theta }{\cos \theta }=4\] \[\Rightarrow \] \[\tan \theta =4\] \[\therefore \] \[\theta ={{\tan }^{-1}}(4)\]
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