A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 6.0m/s. A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 8.0m/s relative to the air, what direction should they head in order to move directly south? (answer is in degrees west of south)

4 answers

The have to have a 6.0m westward component to counter the wind, (draw the triangle) so the S component of their velocity is sqrt (8^2-6^2)=sqrt (64-36)

and the direction is.... arcsin 6/8 west of S.
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