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25 February, 15:51

michael leaves home and drives 17 miles west to work. after work he travels 9 miles to a friend'a house. if the bearing from work to the friend's house is S 24degree E, find the distance between the friend'a house and home.

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  1. 25 February, 18:33
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    The distance between the friend's house and home is 14.263 miles.

    Explanation:

    Base, b = 17 miles

    angle, S = 24°

    Distance between friend's house and home, p = ?

    We know,

    tan 24° = p/b

    tan 24° = p/17

    0.839 = p/17

    p = 14.263 miles

    Therefore, distance between the friend's house and home is 14.263 miles.
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