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Math Help - trig word problem

  1. #1
    Member
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    trig word problem

    I need to check this problem to see if I am correct. I have a test tomorrow and I am pretty sure I will see more of these.

    http://i333.photobucket.com/albums/m...g?t=1229054555


    Any help is greatly appreciated!
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, robasc!

    I believe you have the 34 angle in the wrong place.


    1. A pole 60 feet tall is situated at the bottom of a hill that slopes up at an angle of 15.9.
    A guy wire from the top of the pole to the hillside forms an angle of 34 with the top of the pole.
    Find the distance from the base of the pole to the guy wire's point of attachment.
    Code:
        A o
          | \
          |34\
          |     \
          |       \
          |         \
       60 |           \
          |             \               *
          |               \ C     *
          |          71.9  o
          | 74.1     *
          |     *  15.9
        B o - - - - - - - - - - - - - - - D

    The pole is: AB = 60

    The ground is BD.\;\;\angle CBD = 15.9^o \quad\Rightarrow\quad \angle ABC = 74.1^o

    The guy wire is AC.\;\;\angle BAC = 34^o \quad\Rightarrow\quad \angle ACB = 71.9^o


    Law of Sines: . \frac{BC}{\sin 34^o} \:=\:\frac{60}{\sin71.9^o} \quad\hdots etc.

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  3. #3
    Member
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    Jul 2008
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    Hey thanks alot. I see where I made the mistake. I sure do appreciate your help. Thanks again!
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