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physics

an airplane flies 200km from city a to city b east,then 200km south from city b to c,and finally 100km northwest to city d.how far is it from city a to city d.in what direction must the airplane head to return directly to city a from city d?

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  1. location of c is (200,-200)

    location of d
    x = 200 - 100 cos 45
    y = -200 + 100 sin 45

    keep heading NW obviously
    distance = a to d:

    = 200 sqrt 2 - 100

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