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Math Help - Find Length of Mountain Trail

  1. #1
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    Find Length of Mountain Trail

    A straight trail with an inclination of 17 degrees leads a hotel at an of elevation of 9000 feet to a mountain lake at an elevation of 11,200 feet. What is the length of the trail?

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  2. #2
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    Quote Originally Posted by magentarita View Post
    A straight trail with an inclination of 17 degrees leaves a hotel at an elevation of 9000 feet to a mountain lake at an elevation of 11,200 feet. What is the length of the trail?
    I changed your wording just a tad. I hope this is what you mean.

    This just sounds like a classic case of right triangle trigonomety. From the hotel, the rise to 11,200 ft. would be 2200 ft. With an inclination of 17 degrees we should have:

    \sin 17=\frac{2200}{x}

    where x is the length of the trail in feet.
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  3. #3
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    I can..........

    Quote Originally Posted by masters View Post
    I changed your wording just a tad. I hope this is what you mean.

    This just sounds like a classic case of right triangle trigonomety. From the hotel, the rise to 11,200 ft. would be 2200 ft. With an inclination of 17 degrees we should have:

    \sin 17=\frac{2200}{x}

    where x is the length of the trail in feet.
    I can take it from here.

    Thanks
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