A swimmer can swim in still water with speed $v$ and the river is flowing with velocity $v/2$. To cross the river in shortest distance, he should swim making angle $\theta$ with the upstream. What is the ratio of the time taken to swim across the shortest time to that is swimming across over shortest distance

  • A

    $cos \,\theta$

  • B

    $sin \,\theta$

  • C

    $tan\,\theta$

  • D

    $cot \,\theta$

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