A kayaker needs to paddle north across a 105 m wide harbor. The tide is going out, creating a tidal current that flows to the east at 1.5 m/s. The kayaker can paddle with a speed of 3.4 m/s.
(a) In which direction should he paddle in order to travel straight across the harbor? (degrees west of north)
(b) How long will it take him to cross? (seconds)
c^2= a^2 + b^2
The Attempt at a Solution
I divided 105m by 3.4 m/s to determine how long it would take to go straight across the harbor. Then I multiplied that number (30.88) by 1.5 m/s to get the distance he would have ended up downstream. 46.32m.
Then, I attempted to set up a right triangle and solve for the angle but that's where I got confused.