Concept explainers
a.
A road rises 63 feet over a horizontal distance of 840 feet. Should a warning sign be posted? Explain your reasoning in your answer.
a.
Answer to Problem 37E
The warning sign is not required.
Explanation of Solution
Given:
The grade of a road is its slope written as percentage. A warning sign must be posted if a section of road has a grade of at-least 8% and is more than 750 feet long.
Calculation:
We can see that horizontal distance is 840 feet, which is greater than 750 feet.
Now we will use slope formula to find grade of road as:
Now, we will convert slope as a percent by multiplying 0.075 by 100.
Since the grade of road is 7.5%, which is less than 8%, therefore, the warning sign is not required.
b.
To find:
How many feet does the road rise over the given distance?
b.
Answer to Problem 37E
The road rises 90 feet over a horizontal distance of 1000 feet.
Explanation of Solution
Given:
The grade of a road is its slope written as percentage. A warning sign must be posted if a section of road has a grade of at-least 8% and is more than 750 feet long.
The grade of a section of road that stretches over a horizontal distance of 1000 feet is 9%.
Calculation:
We will use slope formula to solve our problem as:
Therefore, the road rises 90 feet over a horizontal distance of 1000 feet.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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