If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof.
B) 45
D) 14

Question

If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof. 
B) 45 
D) 14

Quizplus · Accepted Answer

The pitch of the roof is the vertical rise over the horizontal run, expressed as a ratio. Using the Pythagorean theorem, we can find the length of the slope of the roof: √(5^2+9^2) = √106. Therefore, the pitch of the roof is 5/√106, which when simplified is approximately 0.486 or 11ec1e8e_2be4_6417_be9b_89b7bf90b698_TBX8967_11.

If the Rise of the Roof Shown in the Illustration