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°
1 answer:
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
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