Multiple choice

A man can swim in stationary water with velocity $v_m$ and river is flowing with a velocity $v_m$. if the mass wants to cross the river in minimum possible time, the angle at which the boat reaches the other side of the bank is

  1. $sin^{-1} \dfrac{v_r}{v_m}$
  2. $sin^{-1} \dfrac{v_m}{v_r}$
  3. $tan^{-1} \dfrac{v_r}{v_m}$
  4. $cos^{-1} \dfrac{v_m}{v_r}$
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