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?

Half-span is half of span. Pitch of the roof is calculated as rise / (span/2). In this case, rise is 8 feet and span is 30 feet. So, the pitch can be calculated as 8 / (30/2) or 8/15. Pitch is normally represented as the number of inches of rise per foot. So, to reduce 8/15 to match a foot, we multiply it by 12. So, (8/15) * 12 gives us 6.4 inches of rise per foot.