Question

A road sign shows that a hill has a grade of 8%. What is the angle of inclination of the hill, to the nearest tenth of a degree?

Solution

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A grade of X% corresponds to a slope of X100\frac{X}{100}:

m=8100(1)m=\dfrac{8}{100}\color{white}\tag{1}

This means that the rise is 8 and the run is 100:

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