A 358-kg boat is sailing 15.9° north of east at a speed of 1.80 m/s. Thirty seconds later, it is sailing 36.6° north of east at a speed of 3.68 m/s. During this time, three forces act on the boat: a 29.7-N force directed 15.9° north of east (due to an auxiliary engine), a 23.9-N force directed 15.9° south of west (resistance due to the water), and W (due to the wind). Find the magnitude and direction of the force W. Express the direction as an angle with respect to due east.
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