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definitions given.
Now, apply what you've learned so far:
Suppose you want to put a gable roof on a section of a house that is 50 feet long. The overhang on each side
will be 1 foot, so the roof will need to span a total of 52 feet. The roof ridge where two identical rafters will
meet will be in the exact middle of the house. So, each rafter will have a horizontal length of 26 feet. If the
ridge is 12 feet above the top of the frame of the house, what will be the pitch of the roof? Make sure to
give the pitch (slope) as a fraction in simplest form. Also, draw a simple diagram of the house with all
measurements labeled in the box provided:
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Sagot :

The pitch of the roof is given by the ratio of the rise to the run of the roof, which is the slope of the rafter

[tex]The \ pitch \ of \ the \ roof \ is \ \mathbf {\dfrac{6}{13}}[/tex]

Please find attached the simple diagram of the house with all measurements labeled

The reason the above value for the pitch and the diagram are correct are as follows:

The given parameters are;

Width of the section of the house on which the gable of the roof is to be placed = 50 feet

Length of the over hang on the sides of the roof = 1 foot each

Total span of the roof = 52 feet

Horizontal length of each rafter, the run = 26 feet

The height of the ridge above the top of the frame, the rise = 12 feet

Required:

  • To find the pitch of the roof
  • To draw a diagram of the house showing measurements

Solution:

[tex]Pitch = \dfrac{Rise}{Run}[/tex]

  • [tex]Pitch \ (slope) \ of \ roof = \dfrac{12}{26} =\dfrac{6}{13}[/tex]

Please find attached the diagram of the house showing the measurements for the roof parameters and the section of the house where the gable roof is to be placed

Learn more about finding the slope of a line here:

https://brainly.com/question/18990889

https://brainly.com/question/17105217

https://brainly.com/question/20987659

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