Enter the heights at the start and end of the handrail, and the horizontal distance into the calculator to determine the angle of the handrail. This calculator can also evaluate any of the variables given the others are known.

## Handrail Angle Formula

The following formula is used to calculate the angle of a handrail.

A = tan^{-1}((H2 - H1) / D)

Variables:

- A is the angle of the handrail (degrees) H1 is the height at the start of the handrail (meters) H2 is the height at the end of the handrail (meters) D is the horizontal distance between the start and end of the handrail (meters)

To calculate the angle of the handrail, subtract the height at the start of the handrail from the height at the end of the handrail. Divide this result by the horizontal distance between the start and end of the handrail. Then, take the inverse tangent of this quotient to find the angle in degrees.

## What is a Handrail Angle?

A handrail angle refers to the degree of inclination or slope of a handrail, typically found on staircases or ramps. It is designed to provide stability and support for individuals ascending or descending. The angle is usually determined by the gradient of the stairs or ramp, ensuring it is comfortable and safe to use. Building codes often specify the acceptable range for handrail angles to ensure accessibility and safety.

## How to Calculate Handrail Angle?

The following steps outline how to calculate the Handrail Angle.

- First, determine the height at the start of the handrail (H1) in meters.
- Next, determine the height at the end of the handrail (H2) in meters.
- Next, determine the horizontal distance between the start and end of the handrail (D) in meters.
- Next, use the formula A = tan^-1((H2 – H1) / D) to calculate the handrail angle (A) in degrees.
- Finally, calculate the Handrail Angle.
- After inserting the variables and calculating the result, check your answer with a scientific calculator.

**Example Problem : **

Use the following variables as an example problem to test your knowledge.

Height at the start of the handrail (H1) = 1.5 meters

Height at the end of the handrail (H2) = 3 meters

Horizontal distance between the start and end of the handrail (D) = 4 meters