A Speedboat whose velocity in still water is 12m/s, is crossing a river flowing due east,at a velocity of 5m/s. If the boat is moving due North, Calculate its velocity across the river and the direction the boat is moving.

Answer 1

draw a diagram. you have a 5-12-13 triangle, right?
tanθ = 5/12

Answer 2

V = 5+12i = 13m/s[67.4o].