Enter the slope rise and the slope run into the Slope to Degrees Calculator. The calculator will evaluate and display the Degrees of Slope. 

Slope to Degrees Formula

The following formula is used to calculate the Slope to Degrees. 

D = tan^-1*(Y/X)

  • Where D is the Slope to Degrees (degrees)
  • Y is the slope rise 
  • X is the slope run 

To calculate degrees from slope, take the inverse tangent of the slope rise over the slope run.

How to Calculate Slope to Degrees?

The following example problems outline how to calculate Slope to Degrees.

Example Problem #1:

  1. First, determine the slope rise.
    • The slope rise is given as: 46.
  2. Next, determine the slope run.
    • The slope run is provided as: 30.
  3. Finally, calculate the Slope to Degrees using the equation above: 

D = tan^-1*(Y/X)

The values given above are inserted into the equation below and the solution is calculated:

D = tan^-1*(46/30) = 56.88 (degrees)

Example Problem #2: 

For this problem, the variables needed are provided below:

slope rise = 70

slope run = 80

This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer. 

D = tan^-1*(Y/X) = ?