Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![### Understanding Roof Pitch
The **pitch** of a roof is a measure of its slope. To calculate the pitch, you need to find the ratio of the vertical rise to the horizontal run.
#### Example Problem:
**Calculate the pitch of the roof shown:**
In the diagram:
- The vertical rise is given as **15 ft**.
- The horizontal run is **18 ft**.
To find the pitch, use the formula:
\[ \text{Pitch} = \frac{\text{Rise}}{\text{Run}} = \frac{15 \, \text{ft}}{18 \, \text{ft}} \]
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor.
#### Solution:
The pitch is \(\frac{5}{6}\).
**Remember:** Always express the pitch as a simplified fraction or an integer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e0f1ad0-c863-431e-a076-23b278670137%2F20e46b92-3667-49ff-b620-aa4728202beb%2Fhgriyha_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Roof Pitch
The **pitch** of a roof is a measure of its slope. To calculate the pitch, you need to find the ratio of the vertical rise to the horizontal run.
#### Example Problem:
**Calculate the pitch of the roof shown:**
In the diagram:
- The vertical rise is given as **15 ft**.
- The horizontal run is **18 ft**.
To find the pitch, use the formula:
\[ \text{Pitch} = \frac{\text{Rise}}{\text{Run}} = \frac{15 \, \text{ft}}{18 \, \text{ft}} \]
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor.
#### Solution:
The pitch is \(\frac{5}{6}\).
**Remember:** Always express the pitch as a simplified fraction or an integer.
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