SOLUTION: This is a word problem to find the slope of a roof. The question is: A contractor goes to a lumbar yard to purchase some trusses (triangular frames) for the roof of a house. Man

Question 1026974: This is a word problem to find the slope of a roof.
The question is: A contractor goes to a lumbar yard to purchase some trusses (triangular frames) for the roof of a house. Many sizes are available, so the contractor takes some measurements to ensure the roof will have the desired slope. In one case, the height of the truss (base to ridge) was 4ft, with a width of 24ft (eave to eave).
a) Find the slope of the roof if these trusses are used.
b)What does this slope indicate?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
consider your problem as a
right angled triangle.
Height = 4ft
Base = 12ft (Half the 24ft)
Tan (theta) = Opposite/Adjacent
Tan (theta) = 4/12
Tan (theta) = 0.33..
theta = 18.4 degrees.
This is the slope.
b)Between 15 and 30 degrees is recommended
for allowing rain water to run off roofs.
So this is acceptable.
Hope this helps :-)
RELATED QUESTIONS
A roof rises 9.75ft over a horizontal distance of 17.24ft. What is the slope of the roof (answered by Edwin McCravy)

80 feet of lumbar is used to enclose a rectangulr field. The field is twice as long as it (answered by checkley79)

A bookshelf is to be constructed. the length is to be 3 times the height. If 60 feet of (answered by jojo14344)

I cannot wrap my brain around this for some reason. A roof rises 7.25 ft over a... (answered by stanbon)

Purchasing: a contractor buys 16yds of nylon carpet and 20 yds of wool carpet for $1840.... (answered by ankor@dixie-net.com)

can some one please help me with this word problem I have no idea about this one!! The (answered by ichigo449)

If the rise of a roof is 7.5 over a horizontal distance of 12.27ft what is the slope of... (answered by jim_thompson5910)

Can someone be so kind to help solve this problem? A roof rises 1.4 feet vertically... (answered by rfer,richard1234)

The gable end of the roof shown is divided in half by a vertical brace. Find the distance (answered by mananth)