Question

A shot is fired at an angle $\theta$ to the horizontal such that it strikes the hill while moving horizontally. If tan $\theta =\frac{x}{2}$, find the value of x. $[Givensin{37}^{\circ }=\frac{3}{5}]$

• A. 2
• B. 3
• C. 1
• D. 4

Answer 1

The correct option is B 3

When the ball is moving horizontally, it is at maximum height. Thus,

$tan{37}^{\circ }=\frac{2h}{R}=\frac{2u^{2}si{n}^2\theta \times g}{2g\times 2u^{2}sin\theta cos\theta }=\frac{sin\theta }{2cos\theta }=\frac{tan\theta }{2}thus,tan\theta =2tan{37}^{\circ }=\frac{3}{2}$