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Math Help - Bearings Problem - driving me nuts!!

  1. #1
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    Bearings Problem - driving me nuts!!

    Plane A flies a distance of 220 miles in the direction N20(degrees)E.
    Plane B departs from the same airport and flies a distance of 365 miles in the direction S55(degrees)W.

    Calculate the distance between the two planes.

    Any help would be much appreciated!!!
    Thank you!!
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  2. #2
    Junior Member
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    Quote Originally Posted by Shmomo89 View Post
    Plane A flies a distance of 220 miles in the direction N20(degrees)E.
    Plane B departs from the same airport and flies a distance of 365 miles in the direction S55(degrees)W.

    Calculate the distance between the two planes.

    Any help would be much appreciated!!!
    Thank you!!
    Use cosine theorem
    Attached Thumbnails Attached Thumbnails Bearings Problem - driving me nuts!!-triangel.bmp  
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  3. #3
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    Hello, Shmomo89!

    repcvt gave you an excellent game plan . . .


    Plane A flies a distance of 220 miles in the direction N20E.
    Plane B flies a distance of 365 miles from the same airport in the direction S55W.

    Calculate the distance between the two planes.
    Code:
                                |
                                |           o A
                                |         **
                                |       * *
                                |     *  *
                                |   *   *
                                | *    *
                                *     * 220
                              * |    *
                            *   |20*
                          *     |  *
                        *       | *
                      *         |*
      - - - - - - - * - - - - - o - - - - - - - -
                  *         *55|O
                *       *       |
              *     * 365       |
            *   *               |
        B o                     |

    We find that \angle AOB = 145^o

    Now use the Law of Cosines on \Delta AOB.

    . . . AB^2 \;=\;365^2 + 220^2 - 2(365)(220)\cos145^o . . . etc.

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