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The image shows a diagram of a roof with labels for "Rise" and "Run" along with a table that includes "24 ft" and "3:12" under "Run" and "Pitch," respectively. We need to find the value for the "Rise" (the missing box).

### Explanation:

The pitch is given as 3:12, which means for every 12 feet of horizontal run, the rise is 3 feet. This is a slope ratio.

Using this, we can set up a proportion:

\[
\frac{\text{Rise}}{\text{Run}} = \frac{3}{12}
\]

The given run is 24 feet, so we substitute:

\[
\frac{\text{Rise}}{24} = \frac{3}{12}
\]

Now solve for the Rise:

\[
\text{Rise} = 24 \times \frac{3}{12} = 24 \times 0.25 = 6 \text{ feet}
\]

### Answer:
The value for the missing box (Rise) is **6 feet**.

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Do you need further details or have any questions?

Here are some related questions:
1. How do you calculate the roof pitch from given rise and run values?
2. What other methods can be used to calculate rise besides using the ratio?
3. How is roof pitch important for practical building designs?
4. Can roof pitch ratios vary based on geographical areas or climates?
5. What are the implications of a steeper roof pitch?

**Tip:** Understanding the roof pitch can help you estimate material needs for construction projects.

What is the rise of the roof given a run of 24 feet and a pitch of 3:12?

Learn how to calculate the rise of a roof with a 3:12 pitch and a run of 24 feet using the proportion method. This problem covers essential geometry and proportion concepts, perfect for students in Grades 7-9.

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