If 3/7 is the slope then the vertical distance is 3x and the horizontal is 7x (since slope = rise over run). And if the vertical is 18 then 3x=18 so x = 6 making the horizontal 7(6) = 42. The length from gutter to roof is the hypotenuse, so use Pythagorean theorem. Then change it to inches by multiplying by 12, and divide by 5 to see how many rows of shingles on each side (double it for the total)
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