
Concept explainers
Find the slope of road and the change in the elevation over a two-mile action of the road.

Answer to Problem 83E
The slope of the road is
The change in elevation of the road for 2 miles stretch is 0.2 miles.
Explanation of Solution
Given:
The diagram below gives a simple representation of the road grade problem.
The surface of the road is slant and is a straight line. For a 2 mile stretch, let's calculate the change in elevation of the road and the slope of the road.
The angle of inclination gives is 0.10 radians.
Let
Then,
So, slope of the road is
Let h be the change in elevation of the road for a 2 mile stretch of the road .
Then from
So,
So, the change in elevation of the road for 2 miles stretch is 0.2 miles.
Chapter 10 Solutions
Precalculus with Limits
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