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What vector represents the displacement of a person who walks 15 km at 45 degrees south of east, then 30 km due west?

  • physics -

    First find East component of each
    15 cos 45 - 30
    Now find south component of each
    15 sin 45 + 0
    so
    East = -19.4 or 19.4 West resultant
    South = 10.6
    tangent of angle south of West (quadrant 3) = 10.6/19.4 = .547
    tan^-1 .547 = 28.7 degrees South of West
    magnitude = sqrt (19.4^2+10.6^2)

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