SOLUTION: A highway that has a 6% grade rises 6 ft vertically for every 100 ft horizontally. Which trigonometric ratio is being used in reporting the 6% grade? I really need help please

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A highway that has a 6% grade rises 6 ft vertically for every 100 ft horizontally. Which trigonometric ratio is being used in reporting the 6% grade? I really need help please      Log On


   



Question 194486: A highway that has a 6% grade rises 6 ft vertically for
every 100 ft horizontally. Which trigonometric ratio is
being used in reporting the 6% grade?
I really need help please can you please explain.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A highway that has a 6% grade rises 6 ft vertically for
every 100 ft horizontally. Which trigonometric ratio is
being used in reporting the 6% grade?
I really need help please can you please explain.
--------------------
Looking at it like it's a graph, with x horizontal, the 6 ft vertical for the 100 feet horizontal, is y/x, which is the tangent of the angle at the Origin.
A 6% grade is an angle that has a tangent of 0.06.
tan(3.43363º) = 0.06