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Math Help - Please help me again in my trigonometry assignment.

  1. #1
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    Smile Please help me again in my trigonometry assignment.

    The bearing from Winston-Salem,North Carolina to Danville,Virginia, is North 42 degrees East. The bearing from Danville to Goldsboro, North Carolina is South 48 degrees East. A car driven by Mark Ferrari, traveling at 60mph, takes one hour to go from Winston-Salem to Danville and 1.8hour to go from Danville to Goldsboro. Find the distance from Winston-Salem to Goldsboro.

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    The bearing from Atlanta to Macon is South 27 degrees East, and the bearing from Macon to Augusta is North 63 degrees East. An automobile traveling at 60mph needs one and one fourth hour to go from Atlanta to Macon and one and three fourth hour to go from Macon to Augusta. Find the distance from Atlanta to Augusta.
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  2. #2
    MHF Contributor
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    Well, we have Distance = Rate * Time. Are you struggling with the meaning of "Bearing"?
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  3. #3
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    Hello, john edgar!

    Did you make a sketch?
    I'll explain the first one. (The second one is exactly the same.)


    The bearing from Winston-Salem to Danville is N 42 E.
    The bearing from Danville to Goldsboro is S 48 E.
    Mark, driving at 60mph, takes one hour to go from Winston-Salem to Danville
    and 1.8 hour to go from Danville to Goldsboro.
    Find the distance from Winston-Salem to Goldsboro.
    Code:
        N           D
        :           *
        :         * : *
        :   60  *42:48*
        :     *     :     *
        :42*       :       *  108
        : *         :         *
      W *           :           *
        :       *   :             *
        :           :   *           *
        :           :           *     *
        :           S                   * G

    "The bearing from Winston-Salem to Danville is N 42 E."
    . . / NWD = 42 . . . hence: / WDS = 42.


    "The bearing from Danville to Goldsboro is S 48 E."
    . . / SDG = 48.


    "Mark, driving at 60mph, takes one hour to go from Winston-Salem to Danville"
    . . WD = 60

    "and 1.8 hour to go from Danville to Goldsboro."
    . . DG = 108


    Note that: ./ D .= .42 + 48 .= .90
    . . ∆ WDG is a right triangle!


    Use the Pythagorean Theorem to determine WG.

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