The pitch of a roof is its slope. Find the pitch of the roof shown.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![**Title: Calculating Roof Pitch**
**Introduction:**
Understanding the pitch of a roof is important for architectural design and construction. The pitch is essentially the slope of the roof.
**Problem Statement:**
Find the pitch of the roof shown.
**Diagram Explanation:**
The diagram depicts a house with a triangular roof section. Key measurements provided are:
- The horizontal span (base) of the roof section is 24 feet.
- The vertical rise (height) of the roof section is 15 feet.
**Solution:**
To determine the pitch of the roof, divide the rise by the run (span):
\[ \text{Pitch} = \frac{\text{rise}}{\text{run}} = \frac{15 \, \text{ft}}{24 \, \text{ft}} \]
**Simplify your answer:**
Calculate and simplify the fraction.
**Conclusion:**
The pitch of the roof is essential for ensuring adequate drainage and structural stability. Simplified calculation aids in understanding the design requirements for roofing projects.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F893dc050-7e7b-4dbf-93a9-8ffab1672cea%2F8b5eabfc-7801-49a4-9e60-0a57cf494d4a%2F18s9ow_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Roof Pitch**
**Introduction:**
Understanding the pitch of a roof is important for architectural design and construction. The pitch is essentially the slope of the roof.
**Problem Statement:**
Find the pitch of the roof shown.
**Diagram Explanation:**
The diagram depicts a house with a triangular roof section. Key measurements provided are:
- The horizontal span (base) of the roof section is 24 feet.
- The vertical rise (height) of the roof section is 15 feet.
**Solution:**
To determine the pitch of the roof, divide the rise by the run (span):
\[ \text{Pitch} = \frac{\text{rise}}{\text{run}} = \frac{15 \, \text{ft}}{24 \, \text{ft}} \]
**Simplify your answer:**
Calculate and simplify the fraction.
**Conclusion:**
The pitch of the roof is essential for ensuring adequate drainage and structural stability. Simplified calculation aids in understanding the design requirements for roofing projects.
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