So to plug in actual numbers, 6 in 12 would be 3' in 6' so x=3. arcsine of 3/6 = 30 degrees. So your roof is pitched 30 degrees, as would an equivalent hill be.quote]
Charles; Not trying to be pickey but I believe 6 in 12 is actually 26.6 degrees.
I've just been "fighting city hall"

re: development adjacent to our property.
Regulations say "in no case shall the slope be greater than 1:2 which is the same as 6:12.
I took some scrap wood and made a 10 foot x 5 foot "framing square" hung a plum line on the end AND took my 4 foot level and set a couple of stakes that were almost 1 foot high that was where the 1:2 grade should be.
They started right on (little over) our line that runs 150 feet and the slope is 30 feet to the bottom. We now refer to that back side of our property as "THE BLUFF"

They were saying point A to point B was OK, but the actual lay of the land is indicated by the
red line.
Sorry about the rant but I got started and couldn't stop.