A 325 kg boat is sailing 15.0 degrees north of east at a speed of 2.00 m/s. Thirty seconds later, it is sailing 35.0 degrees north of east at a speed of 4.00 m/s. During this time three forces act on the boat: a 31.0 N force directed 15.0 degrees north of east (due to an auxiliary engine), a 23.0 N force directed 15.0 degrees south of west (resistance due to the water), and FW (force due to the wind).
Find the magnitude and direction of the force FW . Express the direction as an angle with respect to due east.