What is the slope percentage of a 5 to 1 ratio?

To determine the slope percentage from a 5 to 1 ratio, you start by understanding what this ratio represents. A 5 to 1 slope means that for every 5 units of horizontal distance, there is a vertical rise of 1 unit.

The slope percentage can be calculated using the formula:

[

\text{slope percentage} = \left(\frac{\text{rise}}{\text{run}}\right) \times 100

]

In this case, the rise is 1 unit and the run is 5 units. Plugging these values into the formula gives:

[

\text{slope percentage} = \left(\frac{1}{5}\right) \times 100

]

Calculating this yields:

[

\text{slope percentage} = 0.2 \times 100 = 20%

]

Thus, the correct answer is indeed 20%, confirming that a 5 to 1 slope translates to a 20% slope percentage. Understanding slope ratios is crucial for landscape contractors as it affects drainage, soil erosion, and the overall stability of landscaped areas.