Calculate ceiling pitch, angle, percent slope, sloped length, missing rise or run, and headroom at any distance using matching imperial or metric units.

Ceiling Slope Formula

The following formula is used to calculate the Ceiling Slope. 

CS = tan⁻1(CH / CL)
  • Where CS is the Ceiling Slope (degrees of slope)
  • CH is the difference in height 
  • CL is horizontal run, measured in the same unit as CH (not sloped surface length).

To calculate a ceiling slope, take the inverse tangent of the difference in height divided by the horizontal run of the ceiling.

How to Calculate Ceiling Slope?

The following example problems outline how to calculate Ceiling Slope.

Example Problem #1:

  1. First, determine the difference in height.
    • The difference in height is given as: 400.
  2. Next, determine the horizontal run of the ceiling.
    • The horizontal run of the ceiling is provided as: 600.
  3. Finally, calculate the Ceiling Slope using the equation above: 

CS = atan(CH/CL), expressed in degrees.

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

CS = tan-1 (400/600) = 33.69 (degrees of slope)

Example Problem #2: 

For this problem, the variables needed are provided below:

difference in height = 700

horizontal run of the ceiling = 1500

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

CS = tan^-1 (CH/CL) = ?