a boat can sail at 27 m.s in still water. the boat must cross a river that flows at 9 m.s towards the east . if the boat crosses the river by going up stream at an angle of 23 south, what will the size and angle of the resulting velocity be?

1 answer

23o W. of S. = 247o CCW.

Vr = 27m/s[247o] + 9m/s.
Vr = 27*Cos247 + 27*sin247 + 9 =
-10.55 - 24.85i + 9 = -1.55 - 24.85i =
24.9m/s[86.4o] S. of W.