Enter the angle formed between the x-axis and the line into the calculator to determine the inclination.

Inclination Formula

The following formula is used to calculate an inclination from an angle.

m = tan ( θ )

  • Where m is the inclination
  •  θ is the angle formed between the line and the x-axis.

Inclination Definition

What is inclination?

An inclination is defined as the rate of change of y with respect to x of a linear line that crosses the x-axis and forms an angle theta ( θ).

An inclination is another word for the slope of a line. Typically, the term inclination is used when analyzing the slope through the angle instead of the coordinate points.

Example Problem

How to calculate an inclination?

First, measure the angle formed between the line and the x-axis. For this example, the angle is found to be 50 degrees.

Next, convert the angle into radians so the formula above properly evaluates the inclination. To do this, divide the angle by 57.2958.

= 50/57.2958

= .87266 radians.

Finally, calculate the inclination using the formula above:

m = tan ( θ )

m = tan ( .87266)

m = 1.191