SOLUTION: Trigonometry 67. A road sign shows that a hill has a grade of 8%. What is the angle of inclination of the hill, to the nearest of a degree? Thanks and i dont understand how to so

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Question 200518: Trigonometry
67. A road sign shows that a hill has a grade of 8%. What is the angle of inclination of the hill, to the nearest of a degree?
Thanks and i dont understand how to solve it?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
A grade of 8% says that for every 8 feet went up, you would have traveled 100 feet on flat ground.
Now imagine a standing at one corner of a triangle. one leg is 100 feet. The 'opposite' leg is 8 feet.
So opposite%2Fadjacent = 8%2F100 = tangent(a)
Use your calculator and find the arcTan or invTan for (0.08) and see that the angle is about 4.57 degrees.
Now verify, what is the tangent of 4.57 degrees?