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Q:

# How do you convert percent slope to degrees?

A:

Percent slope can be converted to degrees by simply taking the arctan, or the inverse of the tangent function, of one-hundredth of the percent slope. Mathematically, the conversion formula is written as: degrees = arctan (percent slope/100).

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1. Find the corresponding vertical and horizontal distances

For any side of a triangle whose percent slope is unknown, it can be calculated from the corresponding values of vertical rise and horizontal distance. Usually, vertical distance is denoted by Y, and the horizontal distance is denoted by X. Find out the values of these two distances.

2. Calculate the percent slope

The percent slope of a line can be calculated from the values of X and Y by using the formula: percent slope = 100 * (Y/X). For example, if both the values of X and Y are equal to two, then the percent slope is: percent slope = 100 * (2/2) = 100.

3. Convert the percent slope to degrees

Convert the percent slope of the line to degrees by using the formula: degrees = arctan (percent slope/100). For example, if the percent slope of a line is 100, then converting it to degrees yields the result: degrees = arctan (100/100) = arctan (1) = 45 degrees.

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## Related Questions

• A:

To accurately convert Celsius to Fahrenheit, use the following formula: degrees in Celsius times 9, divided by 5 plus 32 equals degrees Fahrenheit. If you only desire a rough estimate for smaller amounts, such as temperature, a quick and easy way is to double the degrees Celsius and add 30.

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• A:

The integral of arctan is x times the inverse tangent of x, minus one-half of the natural logarithm of one plus x squared, plus the constant expressed as C. Using mathematical notation, it is expressed as the integral of arctan(x) dx = x * arctan(x) - (1/2) ln(1+x^2) + C.

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A Fahrenheit measurement of 60 degrees can be converted to Celsius by subtracting 32 from 60 and then dividing the difference by 1.8. The equivalent of 60 degrees Fahrenheit is 15.55 degrees Celsius.