SOLUTION: A roof rises 7.25ft over a horizontal distance of 16.62ft. What is the slope of the roof to the nearest hundredth?

Question 122819: A roof rises 7.25ft over a horizontal distance of 16.62ft. What is the slope of the roof to the nearest hundredth?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Slope is defined as the change in the vertical distance divided by the corresponding change
in the horizontal distance.
.
For this problem the change in the vertical distance is +7.25 ft. (The plus sign indicates
that it is rising. A minus sign would mean that it was slanting down.)
.
The problem also says that the corresponding horizontal change is 16.62 feet.
.
So the slope (S) of this roof is:
.
S = (vertical change)/(horizontal change) = 7.25/16.62
.
Use a calculator to do the division and you get:
.
Slope = 0.43622142
.
Finally the problem tells you to express the slope to the nearest hundredth. Rounding this
answer to the nearest hundredth results in the answer:
.
S = 0.44
.
Hope this helps you to understand the problem and gives you some insight into the meaning
and definition of slope.
.
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