A 30 foot long driveway has a 5% slope from one end to the other. What is the rise or change in grade?

A 30 foot long driveway has a 5% slope from one end to the other. What is the rise or change in grade?

• A. 12 inches
• B. 18 inches
• C. 24 inches
• D. 30 inches

Answer: (B)

To calculate the rise or change in grade for a driveway with a slope, you can use the formula that relates the slope percentage to the rise and run. The slope percentage tells you how many units of rise correspond to a certain number of units of run. In this case, a 5% slope means that for every 100 units of horizontal distance (run), there is a 5 unit change in vertical distance (rise). To find the rise over a 30-foot driveway, you can first convert the slope percentage to a decimal for calculation: 5% = 0.05 Now, multiply the decimal slope by the length of the driveway (in feet), which is 30 feet: Rise = Slope × Length Rise = 0.05 × 30 feet This calculation results in: Rise = 1.5 feet Since there are 12 inches in a foot, you can convert the rise to inches: 1.5 feet × 12 inches/foot = 18 inches This calculation confirms that the change in grade for the driveway is indeed 18 inches, demonstrating the appropriate application of slope calculations in excavation and grading practices.

To calculate the rise or change in grade for a driveway with a slope, you can use the formula that relates the slope percentage to the rise and run. The slope percentage tells you how many units of rise correspond to a certain number of units of run.

In this case, a 5% slope means that for every 100 units of horizontal distance (run), there is a 5 unit change in vertical distance (rise). To find the rise over a 30-foot driveway, you can first convert the slope percentage to a decimal for calculation:

5% = 0.05

Now, multiply the decimal slope by the length of the driveway (in feet), which is 30 feet:

Rise = Slope × Length

Rise = 0.05 × 30 feet

This calculation results in:

Rise = 1.5 feet

Since there are 12 inches in a foot, you can convert the rise to inches:

1.5 feet × 12 inches/foot = 18 inches

This calculation confirms that the change in grade for the driveway is indeed 18 inches, demonstrating the appropriate application of slope calculations in excavation and grading practices.