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How to Convert the Percent of a Slope to an Angle

The slope of a line refers to how much the rise, or y-coordinates, changes as the run, or x-coordinates, changes. The slope can be measured as a percentage or regular number. The angle of the slope relative to the horizontal plane can also describe the slope. If you know the slope expressed as a percentage, you can convert it to a slope as a number or find the angle of the slope.

Things You'll Need

  • Calculator
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Instructions

    • 1

      Divide the slope expressed as a percentage by 100 to convert to a standard slope. For example, if your slope expressed as a percent equals 70 percent, divide 70 by 100 to get 0.7.

    • 2

      Enter the result on the calculator. In this example, enter "0.7."

    • 3

      Calculate the arctangent of the slope by pushing the "tan^-1" or "arctan" to find the measure of the angle. In this example, the arctangent of 0.7 equals 50.70 degrees.

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