Two particles \( A \) and \( B \) are thrown simultaneously from two different floors of tower h...

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Two particles \( A \) and \( B \) are thrown simultaneously from two different floors of tower having distance \( d \) between them. Velocities of particle \( A \) is \( v_{A} \) at angle \( \alpha \) from
horizontal while velocities of particle \( B \) is \( v_{B} \) at asn angle \( \beta \) from horizontal. If two particles collide in mid-air, then \( \frac{v_{A}}{v_{B}} \).
(A) \( \frac{\cos \beta}{\cos \alpha} \)
(B) \( \frac{\sin \alpha}{\sin \beta} \)
(C) \( \frac{\tan \alpha}{\tan \beta} \)
(D) \( \frac{\cot \alpha}{\cot \beta} \)
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