Question

A river flows toward 90 degrees. A river boat pilot heads the boat at 297 degrees and is able to go straight across the river at 6 m/s.

What is the velocity of the current?
What is the velocity of the boat?

Answer 1

If the boat's speed is s, and the river's speed is r, and the boat is traveling east (0 degrees),

(0,r) + (s cos297,s sin297) = (6,0)

now just solve for r and s.