Question

An inclined walkway leading to a new building is to rise 11 inches for each horizontal distance of 22 feet. Write this slope as a grade. (Round to the nearest tenth of a percent if necessary.)​

Answer 1

4.2%

Explanation:

The horizontal distance, x (Run) = 22 feets

Rise, vertical distance, y = 11 inches

The slope is the ratio of the vertical to the horizontal distance, Rise to Run

Slope = Rise / Run

Converting to the same unit ;

Foot to inches

1 foot = 12 inches

Hence, x = 22 feets = (12 * 22) = 264 inches

Slope = Rise / Run = 11 / 264 = 0.04167

Slope = 0.04167 * 100% = 4.167%