Quandaries
and Queries 

According to my study material 4:12 multiplying factor for shingles is 1.054. The question reads as follows: A building with a floor plan of 3350 sq. ft. and a roof slope of 4:12 will require _______ bundles of standard asphalt shingles. Please show me how to find the multiplying factor 1.054 from 4:12 roof slope. Thanks again. 

Hi Larry, A roof slope of 4:12 means that in a "run" of 12 units there is a "rise" of 4 units as in the diagram below. The triangle in the diagram ia a right triangle so, by Pythagoras' Theorem,
Thus L is the square root of 160 which is 12.6491. ^{12.6491}/_{12} = 1.054 and hence the length of L is 1.054 times the run. Harley 

