The slope is about 4 high for every 12 horizontal.
Vent height above roof.
The 6 you describe should be just fine.
Vent pipes should extend to outdoors above the building roof and should terminate vertically not less than 6 above the roof surface nor more than 24 and must be at least 12 from any vertical surface such as a nearby sidewall.
Above the roof plumbing vent height.
Where a roof is to be used for assembly or as a promenade observation deck sunbathing deck or similar purposes open vent pipes shall terminate not less than 7 feet 2134 mm above the roof.
Please note that this rule doesn t generally apply to pellet and gas vent systems.
A vent stack is not like a chimney which requires 2 higher than any roof within 10.
All open vent pipes that extend through a roof shall be terminated at least 6 inches 152 mm above the roof and not less than 2 inches 51 mm above the invert of the emergency overflow except that where a roof is to be used for any purpose other than weather protection the vent extensions shall be run at least 7 feet 2134 mm above the roof.
So 28 inches plus 24 inches is a chimney height of only 52 inches.
I have a main vent and a sink vent and both are only 6 high above the roof.
Open vent pipes that extend through a roof shall be terminated not less than 6 inches 152 mm above the roof.
Gas vents 12 inches 305 mm in size or smaller with listed caps shall be permitted to be terminated in accordance with figure g2427 6 5 provided that such vents are at least 8 feet 2438 mm from a vertical wall or similar obstruction.
Upc i 906 1 and 906 2.
This reduces the actual required height by 12 inches from our previous calculation of 64 inches.