A river is flowing from west to east at a speed of \( 5 \mathrm{~m} \mathrm{~min}^{-1} \). A man...

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A river is flowing from west to east at a speed of \( 5 \mathrm{~m} \mathrm{~min}^{-1} \). A man on the south bank of the river, capable of swimming
\( \mathrm{P} \) at \( 10 \mathrm{mmin}^{-1} \) in still water, wants to swim across the river

W in the shortest time. Finally, he will move in a direction
(1) \( \tan ^{-1}(2) \mathrm{E} \) of \( \mathrm{N} \)
(2) \( \tan ^{-1}(2) \mathrm{N} \) of \( \mathrm{E} \)
(3) \( 30^{\circ} \mathrm{E} \) of \( \mathrm{N} \)
(4) \( 60^{\circ} \mathrm{E} \) of \( \mathrm{N} \)
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