If 750 feet of pipe is laid at a 0.5% slope, approximately how many intervals will be depicted on a map with 6 inch contour intervals?

To determine how many contour intervals will be depicted on a map based on a slope of 0.5% over a distance of 750 feet, we first need to understand what a 0.5% slope means. A slope of 0.5% indicates a rise of 0.5 feet for every 100 feet of horizontal run.

Calculating the total vertical rise over the full length of 750 feet involves applying the slope percentage. Specifically, you take 0.5 (the slope) and divide it by 100, then multiply it by the total horizontal distance:

• Total rise = (0.5 / 100) * 750

• Total rise = 3.75 feet

Now, to determine how many contour intervals of 6 inches (or 0.5 feet) fit into the total rise of 3.75 feet, you would divide the total rise by the contour interval height. Since there are 12 inches in a foot, the conversion gives us:

• Total rise in feet: 3.75 feet

• Contour interval: 0.5 feet (6 inches)

Now we perform the division:

• Number of intervals = Total rise / Contour interval =