# Slope Percent Calculator

(Vertical Distance the terrain raises or falls)

units

(Horizontal Distance covered by Slope)

units

## How to use this Slope Percent Calculator 🤔

- Enter ✎ value for Vertical Distance the terrain raises or falls (rise).
- Enter ✎ value for Horizontal Distance covered by Slope (run).
- As soon as you enter the required input value(s), the Slope Percent is calculated immediately, and displaed in the output section (present under input section).

## Calculating Slope Percentage

The slope percentage is a measure of the steepness or incline of a slope. It is calculated by taking the ratio of the vertical distance (rise) to the horizontal distance (run) and then multiplying by 100 to express it as a percentage. This calculation is commonly used in engineering, road construction, and landscaping to describe the grade of a terrain or road.

The formula to calculate the slope percentage is expressed as:

\( \text{Slope Percentage} = 100 \times \dfrac{ \text{rise} }{ \text{run} } \)

where:

**Rise**represents the vertical distance the terrain raises or falls.**Run**represents the horizontal distance covered by the slope.

By dividing the rise by the run and then multiplying by 100, you obtain the slope percentage.

## Examples

The following examples demonstrate how to calculate the slope percentage using the given formula.

### 1. A road has a vertical rise of 10 meters over a horizontal distance of 50 meters. What is the slope percentage of the road?

#### Answer

Given:

**Rise**= 10 meters (Vertical distance)**Run**= 50 meters (Horizontal distance)

The formula to calculate the slope percentage is:

\( \text{Slope Percentage} = 100 \times \dfrac{ \text{Rise} }{ \text{Run} } \)

Substituting the given values into the formula:

\( \text{Slope Percentage} = 100 \times \dfrac{10}{50} \)

Simplifying further:

\( \text{Slope Percentage} = 100 \times 0.2 = 20\% \)

Therefore, the slope of the road is 20%.

### 2. A hiking trail climbs 15 feet vertically over a horizontal distance of 100 feet. What is the slope percentage of the trail?

#### Answer

Given:

**Rise**= 15 feet (Vertical distance)**Run**= 100 feet (Horizontal distance)

The formula to calculate the slope percentage is:

\( \text{Slope Percentage} = 100 \times \dfrac{ \text{Rise} }{ \text{Run} } \)

Substituting the given values into the formula:

\( \text{Slope Percentage} = 100 \times \dfrac{15}{100} \)

Simplifying further:

\( \text{Slope Percentage} = 100 \times 0.15 = 15\% \)

Therefore, the slope of the hiking trail is 15%.

### 3. A wheelchair ramp has a rise of 1 meter over a horizontal distance of 12 meters. What is the slope percentage of the ramp?

#### Answer

Given:

**Rise**= 1 meter (Vertical distance)**Run**= 12 meters (Horizontal distance)

The formula to calculate the slope percentage is:

\( \text{Slope Percentage} = 100 \times \dfrac{ \text{Rise} }{ \text{Run} } \)

Substituting the given values into the formula:

\( \text{Slope Percentage} = 100 \times \dfrac{1}{12} \)

Simplifying further:

\( \text{Slope Percentage} = 100 \times 0.0833 = 8.33\% \)

Therefore, the slope of the wheelchair ramp is 8.33%.

### 4. A ski slope descends 50 meters over a horizontal distance of 200 meters. What is the slope percentage of the ski slope?

#### Answer

Given:

**Rise**= 50 meters (Vertical distance, since it descends)**Run**= 200 meters (Horizontal distance)

The formula to calculate the slope percentage is:

\( \text{Slope Percentage} = 100 \times \dfrac{ \text{Rise} }{ \text{Run} } \)

Substituting the given values into the formula:

\( \text{Slope Percentage} = 100 \times \dfrac{50}{200} \)

Simplifying further:

\( \text{Slope Percentage} = 100 \times 0.25 = 25\% \)

Therefore, the slope of the ski slope is 25%.

## Formula

To calculate the slope percent, you can use the following formula.

where

## Calculation

Once you enter the input values in the calculator, the output parameters are calculated.