A motor boat is to reach at a point 30o upstream on the other side of a river flowing with velocity 5 ms-1. The velocity of motor boat with respect to water is 53ms−1. The driver should steer the boat at an angle
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a
30o w.r.t. the line of destination from the starting point
b
60o w.r.t. normal to the bank
c
120o w.r.t. stream direction
d
None of these
answer is A.
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Detailed Solution
The velocity of motor boat is given as v→m=v→mw+v→w5sinθ=53sin120∘⇒sinθ=1/2⇒θ=30∘