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A stream is flowing at 0.75ms\(^{-1}\) and a boat heading...

A stream is flowing at 0.75ms\(^{-1}\) and a boat heading perpendicular for the stream landed at the opposite bank at an angle of 30°. Calculate the velocity of the boat.

A.

1.50ms-1

B.

1.00ms-1

C.

0.86ms-1

D.

0.65ms-1

Correct answer is C

Let the velocity of the boat = Vm/s
0.75/V = adj/hyp = Cos 30°
0.75/V = 0.8660
∴ V = 0.75/0.8660
V = 0.866 ms\(^{-1}\)