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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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Anonymous

  1. Vbc = Vb + Vc = 6.44i
    Vb + 1.09 = 6.44i
    Vb = -1.09 + 6.44i

    Tan Ar = Y/X = 6.44/-1.09 = -5.90826
    Ar = -80.4o = Reference angle.
    A = -80.4 + 180 = 99.6o, CCW = 9.6o W. of N.

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    Henry

  2. 346.5

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    rahmanullah

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