SOLUTION: A roof rises 7.25ft over a horizontal distance of 16.62ft. What is the slope of the roof to the nearest hundredth?
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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.
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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.)
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The problem also says that the corresponding horizontal change is 16.62 feet.
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So the slope (S) of this roof is:
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S = (vertical change)/(horizontal change) = 7.25/16.62
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Use a calculator to do the division and you get:
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Slope = 0.43622142
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Finally the problem tells you to express the slope to the nearest hundredth. Rounding this
answer to the nearest hundredth results in the answer:
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S = 0.44
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Hope this helps you to understand the problem and gives you some insight into the meaning
and definition of slope.
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