a man walks 10km towards west and then 15 km towards south. Find the resultant vectors, magnitude and direction.

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  1. X = hor. = -10km.

    Y = ver. = -15km.

    tanAr = y/x = -15 / -10 = 1.50,
    Ar = 56.3 deg. = reference angle,
    A = Ar + 180 = 56.3 + 180 = 236.3 deg.

    R = X / cosA = -10 / cos236.3 = 18km @
    236.3 deg., Q3.

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