What percentage grade should a road have if the angle of elevation of the road is 6 degrees? (The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.)

Question

Mathematics

Cody Rodriguez

13 December, 20:17

What percentage grade should a road have if the angle of elevation of the road is 6 degrees? (The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.)

+1

Answers (1)

Know the Answer?

Amiah Mitchell · Answer 1

10.5%

Step-by-step explanation:

The tangent of the angle is the ratio of rise to run.

tan (angle) = grade

tan (6°) ≈ 0.105 = 10.5%

The grade will be 10.5% for an angle of elevation of 6°.