What is the angle of a 1:1 slope in percentage terms?

To determine the angle of a 1:1 slope in percentage terms, it's important to first understand how slope ratios and percentages are calculated. A 1:1 slope means that for every unit of horizontal distance, there is an equal unit of vertical distance. This is the definition of a 45-degree angle in terms of elevation.

To convert a slope ratio into percentage, you use the formula:

[

\text{Percentage} = \left(\frac{\text{Vertical Rise}}{\text{Horizontal Run}}\right) \times 100

]

In the case of a 1:1 slope:

• The vertical rise is 1.

• The horizontal run is 1.

So, applying the formula:

[

\text{Percentage} = \left(\frac{1}{1}\right) \times 100 = 100%

]

This indicates that a 1:1 slope is equivalent to a 100% slope. Understanding this conversion is essential when interpreting or working with different slope grades, especially important for hoisting and similarly relevant operations where inclines may impact equipment performance and safety.

The answer indicates a perfect 45-degree slope, directly correlating it to the percentage scale which is crucial in