### Roof Pitch Calculation**Question:**The pitch of a roof is defined as \( \frac{\text{rafter rise}}{\text{rafter run}} \) and the fraction is typically written with a denominator of 12. Determine the pitch of the roof from point A to point C.**Diagram:**- A diagram is displayed with the following details: - There is a triangle representing the roof structure. - Point A is at the bottom left of the triangle, point B is at the bottom right, and point C is at the top center. - The segment labeled "Span 24 ft" represents the distance between points A and B at the base of the triangle. - The segment labeled "7 ft" represents the vertical height from the base to the peak of the roof, from point C to the midpoint of AB.**Graph Explanation:**- This graph shows a right triangle with a base (AB) spanning 24 feet and a height (vertical rise from the base to the peak of the roof, point C) of 7 feet. - The rafter AC and rafter BC are represented as the hypotenuse of the two right triangles formed by splitting the main triangle into two smaller right triangles.### Steps to Determine Roof Pitch:1. **Identify the rafter run:** The rafter run in this case is half of the span. Therefore, the rafter run is \( \frac{24 \text{ ft}}{2} = 12 \text{ ft} \).2. **Identify the rafter rise:** The rafter rise is given as 7 ft.3. **Calculate the pitch:** \[ \text{Pitch} = \frac{\text{rafter rise}}{\text{rafter run}} = \frac{7 \text{ ft}}{12 \text{ ft}} \]Therefore, the pitch of the roof from point A to point C is \( \frac{7}{12} \).

Answered: Image /qna-images/answer/405fd65c-30b3-4aad-925d-d738425d3a14.jpg

rafter rise The pitch of a roof is defined as and the fraction is typically written with a denominator of 12. Determine the rafter run pitch of the roof from point A to point C. Rafter 7 ft Span 24 ft

rafter rise The pitch of a roof is defined as and the fraction is typically written with a denominator of 12. Determine the rafter run pitch of the roof from point A to point C. Rafter 7 ft Span 24 ft

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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