A motor boat is to reach at a point `30^@` upstream on the outer side of a river flowing with velocity `5 ms^(-1)`. The velocity of motor boat with respect to water is `5(sqrt3) ms^(-1)`. The driver should steer the boat at an angle. A. `30^@` w.r.t. the line of destination from the starting point.B. `60^@` w.r.t. normal to the bank.C. `120^@` w.r.t. stream directionD. None of these

A motor boat is to reach at a point `30^@` upstream on the outer side

1.	A motor boat is to reach at a point `30^@` upstream on the outer side of a river flowing with velocity `5 ms^(-1)`. The velocity of motor boat with respect to water is `5(sqrt3) ms^(-1)`. The driver should steer the boat at an angle. A. `30^@` w.r.t. the line of destination from the starting point.B. `60^@` w.r.t. normal to the bank.C. `120^@` w.r.t. stream directionD. None of these
Answer» Correct Answer - C c. The velocity of motor boat is given as `vecv_m = vecv_(mw) + vecv_(w)` `5/(sintheta) = (5sqrt(3))/(sin120^@) rArr sin theta = 1//2 rArr theta = 30^@`.

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