The captain of a boat wants to travel directly across a river that flows due east with a speed of 1.09 m/s. He starts from the south bank of the river and wants to reach the north bank by travelling straight across the river. The boat has a speed of 6.44 m/s with respect to the water. What direction (in degrees) should the captain steer the boat? Note that 90° is east, 180° is south, 270° is west, and 360° is north.

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  1. Vbw = Vb + Vw = 6.44i
    Vb + 1.09 = 6.44i
    Vb = -1.09 + 6.44i, Q2.

    Tan A = Vbw/Vw = 6.44//-1.09 = -5.90826
    A = -80.4o = 80.4o N. of W. = 99.6o CCW = 9.6o W. of N. = The direction.

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