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:

Option C – 0.86ms‾¹

Explanation

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