The rise and span for a roof are shown. the pitch of a roof is the ratio of the rise to the half-span. if the rise is 8 feet and the span is 30 feet, what is the pitch in simplest form?

The pitch or slope of a roof is defined as the ration of rise and half of the span. In equation we can write:

Half-Span equals the run. So we can define the Pitch as:

Rise = 8 feet

Run = Half of span = 15 feet

Using the values in the above formula, we get:

Therefore, the pitch (or slope) of the roof in simplest form is 8/15

Pitch is normally defined as the vertical rise of a roof for ever 12 feet increase in its horizontal run. The above fraction shows the vertical rise is 8/15 for each 1 feet increase in the horizontal run. So if we simply multiply the the above fraction by 12, we will get the pitch in standard units.

So,

Pitch = 8/15 x 12 = 6.4

Therefore, the pitch of the roof will be 6.4