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Math Help - Finding an angle

  1. #1
    Newbie
    Joined
    Mar 2009
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    Finding an angle

    Hi, I really do not understand this question, if you could please solve and explain it, I would greatly appreciate it!



    Here it is:

    A wire is stretched from the top of a 200 ft building to a point on the ground. (130 ft). What angle does the wire make the ground?


    Thank you so much!
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  2. #2
    Super Member

    Joined
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    Lexington, MA (USA)
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    Hello, uhhuh!

    Did you try to make a sketch?


    A wire is stretched from the top of a 200 ft building to a point on the ground
    130 ft from the building. What angle does the wire make with the ground?
    Code:
        A *
          |\
          | \
          |  \
          |   \
      200 |    \
          |     \
          |      \
          |       \
          |      θ \
        B * - - - - * C
              130

    AB is the building: . AB = 200

    The wire is stretched from A to C: . BC = 130

    We want: . \theta \,=\,\angle ACB


    In right triangle ABC\!:\;\;\tan\theta \:=\:\frac{200}{130}

    Therefore: . \theta \;=\;\arctan\left(\tfrac{200}{130}\right) \:=\: 57.97613244 \;\approx\;58^o

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