Question

A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is : (1) 25°8' (2) 33°7' (3) 42°8' (4) 53º8
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Answer 1

Answer:

According to question

$\frac{v^{2}2sin\theta\cos\theta }{g} =\frac{3v^{2}sin^{2}\theta }{2g} \\\frac{sin\theta}{cos\theta}=\frac{4}{3} \\tan\theta=\frac{4}{3} \\\theta = 53$

Hence ans is (4) 53º8