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A motor boat is to reach at a point 30^@...

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 direction

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
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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