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A car travels 20km due north and then 35km in a direction 60 degree west of north. Find the magnitude and direction of the resultant.

  • Physics -

    Call north y and east x
    draw axis system with the vectors
    x = -35 sin 60
    y = 20 + 35 cos 60

    sin of resultant angle east of north = x/y
    (it will be negative of course since going more west than east)
    magnitude = sqrt (x^2+y^2)

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