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The pitch of a roof is its slope. Find the pitch of the roof shown. The pitch is (Type an integer or a simplified fraction.) 18 ft 15 ft

The pitch of a roof is its slope. Find the pitch of the roof shown. The pitch is (Type an integer or a simplified fraction.) 18 ft 15 ft

Elementary Geometry For College Students, 7e
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
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### 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.
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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