Question 245 of 308

A fighter jet is flying horizontally at a certain altitude with a speed of $200{ms}^{-1}$. When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle $\theta$ with the horizontal, to hit the jet. If the bullet speed is $400m{s}^{-1}$, the value of $\theta$ will be _____ $^{\circ}$.

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Answer: 60

In order to hit, horizontal velocity of both moving object should be same,
${V}_{1}={V}_{2}\cos \theta$ $\Rightarrow 200=400\cos \theta$
$\Rightarrow \cos \theta =\dfrac{1}{2}\Rightarrow \theta =60^{\circ}$