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March 30, 2017

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an airplane flies 200 km due west from city A and then 350 km in the direction of 32.0 degrees north of west from city B to city C.
a) in a straight-line distance, how far is city c from city a?
b) relative to city a, what direction is city c?

  • physics - ,

    a. 32 deg North of West = 148 deg.,CCW.

    X=hor. = -200 + 350cos148 = -496.82km.
    Y = ver. = 350sin148 = 185.47km.

    d = sqrt(X^2+Y^2),
    d = sqrt((-496.82)^2 + (185.47)^2 =
    530.3km.

    b. tanA = Y / X = 185.47 / -496.82 = -0.37332.
    A = -20.47 deg,CW. = 180 - 20.47 = 159.53 deg.,CCW. = 20.47 deg, North of West..

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