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
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})