Length of Slope Calculator

Length of Slope Calculator calculator can be used to calculate the length of an inclined plane or slope given the height and angle of inclination.

Input Parameters

Calculation Results

Calculation Formula

Length of Slope = √(Height² + (Height/tan(Angle))²)

Where:
Height is the vertical distance
Angle is the inclination angle in degrees

Length of Slope Calculator Calculator Usage Guide

Learn how to use the Length of Slope Calculator calculator and its working principles

How to Use This Calculator

  1. Enter the height of the slope in meters (m).
  2. Enter the angle of inclination in degrees.
  3. Click the "Calculate" button to compute the length of the slope.
  4. The result will be displayed in meters (m).

Principle of Calculation

The calculator uses the following formula to calculate the length of a slope:

Length of Slope = √(Height² + (Height/tan(Angle))²)

This formula calculates the hypotenuse of a right triangle where the height is one leg and the horizontal distance (base) is the other leg, which can be derived from the angle of inclination.

Example

If you have a slope with a height of 5 meters and an inclination angle of 30 degrees:

Length of Slope = √(5² + (5/tan(30°))²) = √(25 + (5/0.577)²) = √(25 + 90) = √115 ≈ 10.72 meters

Applications

This calculator can be used in various fields including:

  • Construction and architecture for stairways and ramps
  • Landscaping and garden design
  • Roofing projects
  • Surveying and topography