# 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.

Algebra ->  Algebra  -> Trigonometry-basics -> 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.      Log On

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 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(30993)   (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. -------------- 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