SOLUTION: The concept of slope arises in many practical applications. When designing and building roads, engineers and surveyors need to be concerned about the grade of the road. The grade,

Algebra ->  Linear-equations -> SOLUTION: The concept of slope arises in many practical applications. When designing and building roads, engineers and surveyors need to be concerned about the grade of the road. The grade,      Log On


   

Question 205427This question is from textbook
: The concept of slope arises in many practical applications. When designing and building roads, engineers and surveyors need to be concerned about the grade of the road. The grade, usually expressed as a percent, is one way to describe the steepness of the finished surface of the road. For example, a 5% grade means that the road has a slope (rise over run) of 0.05 = 5/100.
A.If a road has a 5% upward grade over a 1000-foot run how much higher will you be at the end of that run than at the beginning?
B.What is the grade of a road that rises 26 feet over a distance of 500 feet? This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
A. An upward grade of 5% means that the road rises 5 feet for every 100 fet of distance from the beginning. So, using a proportion, you can write:
5%2F100+=+x%2F1000 to find the ending height.
5%281000%29%2F100+=+x
highlight%28x+=+50%29 feet higher.
B. If the road rises 26 feet in 500 feet of distance, then the grade is:
26%2F500+=+0.052 = 5.2%