Respuesta :
Solution :
Given :
Span of the roof = 48 feet
Length of the rafter = 30 feet (including the 4 feet overhung)
So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.
Therefore, the horizontal span per rafter is
[tex]$=\frac{48}{2}$[/tex]
= 24 feet
a). So the rise of the roof is [tex]$= \sqrt{(26)^2-(24)^2}$[/tex]
= 10 feet
b). Pinch of the roof is [tex]$=\frac{\text{rise}}{\text{run}}$[/tex]
[tex]$=\frac{10}{24}$[/tex]
[tex]$=\frac{5}{12}$[/tex]
c). The percent of the roof used as overhung is
[tex]$=\frac{4+4}{60}\times 100$[/tex]
[tex]$=\frac{80}{6}$[/tex]
= 13.33 %
