Question

1. identify the specified parts of the following common rafter.

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b.
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d.
e.
f.

1. basic terms and dimensions used in roof framing are shown in the following drawing. identify each specified item.

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b.
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d.
e.

1. a 6 - in - 12 roof has a pitch of ____.

Explanation:

Question 7:

Step 1: Recall Roof Pitch Definition

Roof pitch is the ratio of the rise (vertical change) to the run (horizontal change) of a roof, often expressed as a fraction (rise/run) or with "in - 12" notation (where the second number is the run in 12 - inch units). For a "6 - in - 12" roof, the rise is 6 inches for every 12 inches of run.

Step 2: Calculate the Pitch as a Ratio

The pitch can be represented as a fraction $\frac{rise}{run}$. Here, rise = 6 and run = 12. Simplifying $\frac{6}{12}=\frac{1}{2}$. In terms of angle, we can also calculate the angle $\theta$ where $\tan(\theta)=\frac{rise}{run}=\frac{6}{12} = 0.5$. Then $\theta=\arctan(0.5)\approx26.57^{\circ}$, but the most common way to express the pitch for a 6 - in - 12 roof is as a ratio of 6:12 (or simplified 1:2) or as an angle of approximately 26.6 degrees, but in the context of roof pitch terminology, a 6 - in - 12 roof has a pitch where the rise is 6 inches per 12 inches of run, so the pitch (as a slope ratio) is 6/12 or 1/2, and as an angle, it's approximately 26.6 degrees. However, in the context of the question, likely looking for the ratio or the angle. But more precisely, the pitch of a 6 - in - 12 roof is that for every 12 inches (1 foot) of horizontal run, the roof rises 6 inches. So the pitch can be expressed as 6:12 (or 1:2) or as an angle whose tangent is 6/12 = 0.5.

Answer:

The pitch of a 6 - in - 12 roof is $\frac{6}{12}=\frac{1}{2}$ (or 6 inches of rise per 12 inches of run, or an angle of approximately $26.6^{\circ}$). If we consider the pitch as a ratio of rise to run, the answer is $\frac{1}{2}$ (or 6:12).