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I am now working on trigonometry dealing with grade. If I am given that the grade of a road is 7%, what angle does the road make with the horizontal? How to solve other problems like this? Thanks

 Feb 28, 2016

GenericUsernameHere, a 7% grade means that for every 100 feet of horizontal distance, the road rises 7 feet.....in other words, we have a right triangle with one leg = 7 and the other = 100 and we're looking for the angle opposite the shorter leg ...so.....using the tangent inverse, we have


tan-1 (7 / 100)   = about  4°  with the horizontal


Does that help ???



cool cool cool

 Feb 28, 2016

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