A river is flowing from west to east at a speed of 5 m min-1. A man on the south bank of the river, capable of swimming at 10 m min-1 in still water, wants to swim across the river in the shortest time. Finally, he will move in a direction
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a
tan−1(2)E of N
b
tan−1(2)N of E
c
30∘E of N
d
60∘E of N
answer is B.
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Detailed Solution
Finally, he will swim along B. tanθ=vu=105=2 ⇒ θ=tan−1(2)N of E