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Sagot :
The slope of the road as reduced fraction [tex]\frac{1}{20}[/tex] for grade which is 5%.
The slope of a road is defined as the ratio of the vertical height that a road rises to the horizontal distance covered to rise to that height.
While slope is expressed as a fraction grade is the percentage form of that fraction. The slope can also be defined as [tex]tan[/tex] [tex]\theta[/tex] where [tex]\theta[/tex] is the angle of elevation of the road. For example a slope of [tex]\frac{1}{4}[/tex] has a grade of 25%.
Here the given grade is 5%.
Per-cent refers to per one-hundred. So a 5% grade is 5 per one -hundred.
That means if the road is climbing then for every 100 units of horizontal distance covered, the altitude increases by 5 units.
Now slope of the road=vertical distance ÷ horizontal distance
[tex]=\frac{5}{100}\\=\frac{1}{20}[/tex]
Therefore we can say that the slope of the road is [tex]\frac{1}{20}[/tex]
To learn more about grade and slope:
https://brainly.com/question/12216037
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