Question

PLEASE HELP ME!! A section of a highway is constructed with a 23% grade. What angle does the highway make with a horizontal line? Round to the nearest hundredth of a degree.
m∠A ≈ 12.95°

m∠A ≈ 77.05°

m∠A ≈ 14.95°

m∠A ≈ 87.05°

Answer 1

Answer: 77.05

Step-by-step explanation:    1) Draw a right triangle with these measures:

angle with the horizontal: 6 degress

horizontal segment: 5

height: x

2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>

3) Solve for

x = 5tan(6°) = 77.05