Answer:
17.5 feet
Step-by-step explanation:
since the roof has a 5-12 pitch, this means that the roof rises by 5 units for every 12 unit run.
Height of eaves off the ground is 10 feet
If the eave to eave width of the house is 36 feet, then the distance of one eaves to the center will be 36/2 = 18 feet
since the pitch is 5-12, then the height of the highest point of the roof from the eave will be gotten from the relationship below
[tex]\frac{5}{12}[/tex] = [tex]\frac{y}{18}[/tex]
where y is the height of the highest point of the roof from the eaves
5 x 18 = 12y
90 = 12y
y = 90/12 = 7.5 feet
total height of roof at highest point will be height of the eaves off the ground plus height of highest point of the roof from the eaves
total height of roof = 10 + 7.5 = 17.5 feet
