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10 November, 19:06

A girl delivering newspapers covers her route by traveling 5.00 blocks west, 5.00 blocks north, and then 7.00 blocks east. What is her final position relative to her starting location?

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  1. 10 November, 19:10
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    P = 2i + 5j

    Therefore she is 2 blocks east and 5 blocks north.

    Resultant P = √ (2^2 + 5^2) = √ (4+25) = √29 = 5.4 blocks

    Angle = taninverse (5/2)

    Angle = 68.2°

    Explanation:

    Given:

    Let west be negative and east be positive x axis.

    Let north be the positive y axis.

    5.00blocks west = - 5.00 i

    5.00 blocks north = 5.00 j

    7.00 blocks east = 7.00i

    Addition of the vector form of hee position is;

    P = - 5i + 7i - 5j

    P = 2i + 5j

    Therefore she is 2 blocks east and 5 blocks north.

    Resultant P = √ (2^2 + 5^2) = √ (4+25) = √29 = 5.4 blocks

    Angle = taninverse (5/2)

    Angle = 68.2°
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