SOLUTION: A highway that has a 6% grade rises 6ft. vertically for every 100ft. horizontally. What trigonometric ratio is being used in reporting the 6% grade? Explain why.

Question 173431: A highway that has a 6% grade rises 6ft. vertically for every 100ft. horizontally. What trigonometric ratio is being used in reporting the 6% grade? Explain why.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A highway that has a 6% grade rises 6ft. vertically for every 100ft. horizontally. What trigonometric ratio is being used in reporting the 6% grade? Explain why.
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The "rise over the run" is the side opposite over the side adjacent. That's the tangent.
6% is a tangent of 0.06, so the angle is 3.4336 degs.
The 0.06 is also the slope, m, of the graph in x-y coordinates.
Slope = tangent

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