Rise and Run to Degrees Calculator

Calculate an angle in degrees given the rise and run of an incline. Rise/run can also be referred to as a gradient.

How to Calculate an Angle in Degrees Given Rise and Run

Solve the angle of an incline by finding the rise and the run of a line. Convert rise and run to the same units of measure, then divide the rise by the run to find the decimal form. Finally, get the inverse tangent of the decimal to find the angle in degrees.

degrees = tan-1(decimal).

For example, given a rise of 10′ and a run of 20′:

degrees = tan-1(10 ÷ 20)
degrees = tan-1(.5)
degrees = 26.57°

Rise is equal to the height of a line and run is equal to the horizontal length of a line. The slope or incline of a line or elevation can be expressed as a gradient(rise/run), angle in degrees, decimal, or percentage. Our rise and run to percentage calculator can convert a slope to a percentage.

Use our slope calculator to calculate the slope of a line or our grade calculator to find the incline of an elevation.