If the elevation is at a 2% grade over a horizontal distance of 75 feet, what is the difference in elevation?

If the elevation is at a 2% grade over a horizontal distance of 75 feet, what is the difference in elevation?

• A. 1 foot
• B. 1.5 feet
• C. 2 feet
• D. 3 feet

Answer: (B)

To determine the difference in elevation at a 2% grade over a horizontal distance of 75 feet, you'll need to apply the formula for calculating elevation change based on the grade percentage. The formula involves converting the grade percentage to a decimal and then multiplying it by the horizontal distance. A 2% grade means that for every 100 feet of horizontal distance, the elevation changes by 2 feet. Therefore, to find the elevation change over 75 feet, you convert the percentage to a decimal: 2% = 0.02 Next, you multiply this decimal by the horizontal distance: Elevation change = Grade (as a decimal) × Horizontal distance Elevation change = 0.02 × 75 feet Elevation change = 1.5 feet This calculation shows that the difference in elevation over 75 feet at a 2% grade is indeed 1.5 feet, making it the correct answer.

To determine the difference in elevation at a 2% grade over a horizontal distance of 75 feet, you'll need to apply the formula for calculating elevation change based on the grade percentage. The formula involves converting the grade percentage to a decimal and then multiplying it by the horizontal distance.

A 2% grade means that for every 100 feet of horizontal distance, the elevation changes by 2 feet. Therefore, to find the elevation change over 75 feet, you convert the percentage to a decimal:

2% = 0.02

Next, you multiply this decimal by the horizontal distance:

Elevation change = Grade (as a decimal) × Horizontal distance

Elevation change = 0.02 × 75 feet

Elevation change = 1.5 feet

This calculation shows that the difference in elevation over 75 feet at a 2% grade is indeed 1.5 feet, making it the correct answer.