What is the distance between the soffit and the ridge for a roof run of 20 ft. with a 6-12 pitch?

To determine the distance between the soffit and the ridge for a roof with a 6-12 pitch and a run of 20 feet, you need to understand how roof pitch works. The pitch of a roof is represented as a ratio of rise to run. A 6-12 pitch means that for every 12 horizontal units (run), the roof rises by 6 vertical units (rise).

For a roof with a run of 20 feet, you can break this down into smaller units, with 12 feet being one complete set. To find the total rise:

1. Since the run is 20 feet, we calculate how many 12-foot segments fit into that run: [ \text{Number of segments} = \frac{20}{12} = \frac{5}{3} \text{ segments (or 1.67)} ]

2. For each segment, the rise is 6 feet. Therefore, the total rise for the 20-foot run is: [ \text{Total rise} = \frac{5}{3} \times 6 = 10 \text{ feet} ]

Next, we calculate the distance from the soffit to