A grade of 45 is being considered for mountain roadway If th

A grade of +4.5% is being considered for mountain roadway. If the elevation at the top of the grade is 3725.45 feet and horizontal distance of 4832.55 feet needs to be covered. What would be the elevation at the bottom of the grade?

Solution

slope = 4.5% = 4.5 / 100

slope = vertical / horizontal

0.045 = change in vertical distance/change in horizontal distance

Let the elevation at bottom of grade be x

So, 0.045 = (3725.45 -x)/4832.55

(3725.45 -x) = 217.46

x= 3507.98 feet