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Physics

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A car is driven east for a distance of 46 km, then north for 27 km, and then in a direction 35° east of north for 24 km.
Determine the angle (from east) of the car's total displacement measured from its starting direction.

  • Physics -

    35 Deg. E of N = 90 - 35 = 55 Deg CCW
    from the positive x-axis.

    X = Hor = 46 + 24cos55 = 46 + 13.6 = 59.8 km.

    Y = Ver. = 27 + 24sin55 = 27 + 19.7 =
    46.7 km.

    D = (59.8 - 46) + i46.7 = 13.8 + i46.7

    tanA = 46.7/13.8 = 3.38,
    A = 73.5 Deg. = Angle of Displacement.

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