High School

Calculate the slope of the centerline of a swale when the swale extends along the side of a building for 210 feet. The high point is at 46.5 feet, and the drain inlet at the low point of the swale is at 24.5 feet.

Answer :

Final answer:

To calculate the slope of the swale, subtract the low point from the high point to get the rise, then divide by the run, which is the length of the swale. The slope is rise/run.

Explanation:

To calculate percent slope, divide the difference between the elevations of two points by the distance between them, then multiply the quotient by 100. The difference in elevation between points is called the rise. The distance between the points is called the run. Thus, percent slope equals (rise / run) x 100.

To calculate the slope of the centerline of a swale, we will use the formula for slope, which is the change in elevation (rise) divided by the horizontal distance (run). The rise is the difference between the high point and the low point of the swale, and the run is the length of the swale along the side of the building.

Calculation Steps: Identify the high point (46.5 feet) and the low point (24.5 feet). Calculate the rise: 46.5 feet - 24.5 feet = 22 feet. Identify the run: 210 feet. Calculate the slope: Slope = Rise / Run = 22 feet / 210 feet. After performing the calculations, we can determine the slope of the swale.