Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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
#SPJ9
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
