A fighter jet is flying horizontally at a certain with a speed of 200ms^-1. When it passes directly overhead ad anti-aircraft gun, a bullet is fired from the gun, at an angle q with the horizontal, to hit the jet. If the bullet speed is 400m/s, the value of q will be _____________.

B fighter jet

A anti-Air craft gun

Draw velocity diagram of A w.r.t. B

If A hits B

Then Relative velocity perpendicular to the line joining A to B will be zero.

That means 400 cos = 200

$\begin{array}{l}cos\theta =\frac{1}{2}\\ \theta =60°\end{array}$

<p>B fighter jet</p><div><div><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1752820832phpDiFRAT.jpeg" alt="" width="207" height="262" loading="lazy"></picture></div></div><p>A anti-Air craft gun</p><p>Draw velocity diagram of A w.r.t. B</p><p>If A hits B</p><p>Then Relative velocity perpendicular to the line joining A to B will be zero.</p><p>That means 400 cos = 200</p><p><math><mtable columnalign="left"><mtr><mtd><mrow><mi>c</mi><mi>o</mi><mi>s</mi><mi>θ</mi><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><mrow><mi>θ</mi><mo>=</mo><mn>6</mn><mn>0</mn><mo>°</mo></mrow></mtd></mtr></mtable></math></p>

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