Rain is falling vertically with a speed of $30\,ms^{-1}$ . A woman rides a bicycle with a speed of $12\,ms^{-1}$ in east to west direction. She should hold her umbrella

  • A

    At an angle of $tan^{-1} (\frac {2}{5})$ with the vertical towards the east

  • B

    At an angle of $tan^{-1} (\frac {2}{5})$ with the vertical towards the west

  • C

    At an angle of $tan^{-1} (\frac {5}{2})$ with the vertical towards the east

  • D

    At an angle of $tan^{-1} (\frac {5}{2})$ with the vertical towards the west

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