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Math Help - Finding the height with trig

  1. #1
    Junior Member
    Joined
    Oct 2008
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    68

    Finding the height with trig

    Hi, can someone help me how to do this problem. Thanks a lot.

    Assume that you are constructing a 20 ft road at 2 % gradient. PLease calculate the height of the road?

    Thanks again for your help!!
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  2. #2
    Newbie madmartigano's Avatar
    Joined
    Mar 2009
    From
    Merced, California
    Posts
    21
    This is a right triangle problem.

    Treat the 20 ft. of road as your hypotenuse.

    \sin \theta  = \frac{{opposite}}{{hypotenuse}}

    The opposite side is your height, so:

    \begin{array}{l}<br />
 \sin \theta  = \frac{{height}}{{road}} \Rightarrow height = road \times \sin \theta  \\ <br />
  \\ <br />
 height = 20ft. \times \sin 2^\circ  = 0.7ft. \\ <br />
 \end{array}
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