Physics

A plane leaves Seattle, flies 77.0 mi at 21.0 ∘ north of east, and then changes direction to 52.0 ∘ south of east. After flying at 124 mi in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility dispatches a rescue crew. In what direction and how far should the crew fly to go to the field?

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  1. 52o S. of E. = 308o CCW.
    Disp. = 77[21o] + 124[308o].
    Disp. = (77*Cos21+124*Cos308) + (77*sin21+124*sin308)I = 148.2 - 70.11i = 164m1[-25.3o] = 25.3o S. of E. = Direction.

    The crew must fly 164 miles in a direction 25.3o S. of E.

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