Roof truss The rafters are 230 ft long including a 15ft ove

Roof truss : The rafters are 23.0 ft long, including a 1.5-ft overhang, and the height of the truss is 5.50ft. Determine the length of the base of the truss.

Overhang is not included in the given number, meaning I have not subtracted the overhang.

round to one decimal place as needed

Thanks!

Solution

Rafter slope length = 23ft, overhang = 1.5ft

Hence, 23 - 1.5 = 21.5

Now, height of the truss = 5.5

Therefore, length of the base of the truss = 2* sqrt[(21.5)^2-(5.5)^2] = 41.57 ft