What percentage grade should a road have if the angle of elevation of the road is 6 degrees? (The percentage grade is defined as

Question

3 years ago

10

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.)

Mathematics

1 answer:

Andreas93 [3] · Answer 1 · 2022-05-15T10:29:22+03:00

Andreas93 [3]3 years ago

3 0

Answer:

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°.