Trigonometry

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Mountain Descent
A road sign at the top of a mountain indicates that for the next 4 miles the grade is 12%. Find the angle of the grade and the change in elevation for a car descending the mountain.

  • Trigonometry -

    arctan .12 = 6.8°

    the car ascends 12 ft for every 100 ft of horizontal travel, so it rises

    .12 * 4 * 5280 = 2534 ft

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