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Math Help - [SOLVED] Bearing

  1. #1
    Junior Member mathhomework's Avatar
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    [SOLVED] Bearing

    From a point A, the bearing of a radar mast, M, is 048 degree. From a second point B, which is 40 m due east of A, the bearing of the radar mast is 015 degree. Find angle AMB.

    My answer is angle AMB=33. Am I right?
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  2. #2
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    Quote Originally Posted by mathhomework View Post
    From a point A, the bearing of a radar mast, M, is 048 degree. From a second point B, which is 40 m due east of A, the bearing of the radar mast is 015 degree. Find angle AMB.

    My answer is angle AMB=33. Am I right?
    correct
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  3. #3
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    Hello, mathhomework!

    From a point A, the bearing of a radar mast, M, is 048 degrees.
    From a second point B, which is 40 m due east of A,
    the bearing of the radar mast is 015 degree.
    Find angle AMB.

    My answer is angle AMB = 33. .Am I right? . . . . Yes!
    Code:
          P               Q         M
          :               :       *
          :               :    * *
          :               : *   *
          :              *:    *
          :           *   :15*
          :        *      :  *
          :48  *         : *
          :  * 42    90 :*
        - * - - - - - - - * - - - - - - -
          A      40       B

    \angle PAM = 48^o \quad\Rightarrow\quad \angle MAB = 42^o

    \angle QBN = 15^o,\:\angle QBA = 90^o \quad\Rightarrow\quad \angle MBA = 105^o

    \text{In }\Delta AMB\!:\;\angle ANB \:=\:180^o - 42^o - 105^o \;=\;\boxed{33^o}

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  4. #4
    Junior Member mathhomework's Avatar
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    Thank You!

    Yeah,~~~Thank you all!
    It is really nice that you listed all the steps!
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