SOLUTION: a roof rises 8.25 ft over a horizontal distance of 14.65 ft. what is the slope of the roof to the nearest hundredth?

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Question 121058: a roof rises 8.25 ft over a horizontal distance of 14.65 ft. what is the slope of the roof to the nearest hundredth?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Let the slope be c, the height of the roof a, and the horizontal distance of the roof b
Note: they form right angle triangle
So, you can use Pythagorean’s theorem to find c:
a%5E2+%2B+b%5E2+=+c%5E2

+%28%288.25ft%29%5E2%29+%2B+%28%2814.65ft%29%5E2%29+=+c%5E2

+%2868.0625%28ft%29%5E2%29+%2B+%28214.6225%28ft%29%5E2%29+=+c%5E2
+c%5E2+=282.685%28ft%29%5E2
+c+=+sqrt%28282.685%28ft%29%5E2%29

c+=+16.81ft