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Thread: 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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