A grade rises 86 feet in 277 feet horizontal. What is the slope percentage?

A grade rises 86 feet in 277 feet horizontal. What is the slope percentage?

• A. 28%
• B. 31%
• C. 35%
• D. 40%

Answer: (B)

To determine the slope percentage, you start by calculating the slope ratio, which is found by dividing the vertical rise by the horizontal run. In this instance, the vertical rise is 86 feet, and the horizontal distance is 277 feet. The formula for slope ratio is: \[ \text{slope ratio} = \frac{\text{rise}}{\text{run}} = \frac{86}{277} \] Next, to express it as a percentage, you multiply the ratio by 100: \[ \text{slope percentage} = \left( \frac{86}{277} \right) \times 100 \] Carrying out this calculation gives: \[ \frac{86}{277} \approx 0.3101 \] When multiplied by 100, this results in approximately 31.01%. Therefore, the slope percentage rounds to 31%. This makes the slope percentage option B the correct choice. Understanding this concept is critical in various fields, such as civil engineering and construction, where the steepness of grades can significantly affect the design and stability of structures.

To determine the slope percentage, you start by calculating the slope ratio, which is found by dividing the vertical rise by the horizontal run. In this instance, the vertical rise is 86 feet, and the horizontal distance is 277 feet.

The formula for slope ratio is:

[

\text{slope ratio} = \frac{\text{rise}}{\text{run}} = \frac{86}{277}

]

Next, to express it as a percentage, you multiply the ratio by 100:

[

\text{slope percentage} = \left( \frac{86}{277} \right) \times 100

]

Carrying out this calculation gives:

[

\frac{86}{277} \approx 0.3101

]

When multiplied by 100, this results in approximately 31.01%. Therefore, the slope percentage rounds to 31%.

This makes the slope percentage option B the correct choice. Understanding this concept is critical in various fields, such as civil engineering and construction, where the steepness of grades can significantly affect the design and stability of structures.