Is this a do-able pipe offset?

Hello all. Just putting a small Pacific Energy Vista in our newly converted garage "in-law" suite, and need to know if this is a radical offset or pretty typical.

6-inch pipe leaving stove on main floor heading straight up into garage attic (approx. 60-inches or so of single-wall black pipe). Once through attic floor, then angling up 30-degrees with tripple-wall to exit attic roof up about 8-10 feet higher than attic floor, except 6 or 7 feet away from attic floor hole.

Am I correct in understanding that a 30-degree elbow is 30 from horizontal? Or is it the other way, 30 off of vertical? Trig tells me that rise should be 7-inches for every foot of run? And are 45's permited/available?

Thanks in advance.

Hey thanks for the quick response. I wasn't expecting that. Begreen, I only have the new stove stored in the barn, no chimney started yet. It's my understanding that from the stove to the first penetration is only place single-wall can/should be used. I do however, have a more radical option that allows stack to leave roof in the very rear of the house, but that would involve almost a 20-foot vertical to 2nd tier attic. First proposal is exiting roof that covers the garage, 2nd (taller scenario) involves more offset in opposite direction, and more height to "house" 2nd floor roof. I guess I'm trying to get a feel of what I can legally get away with, such as "maximum" lateral offset, or maximum height. Then i can deide on "plan-A" or "plan-B". Sorry to muddy the waters.

James, thanks for the hart. I only see 4 or 6-foot straight lengths between elbows. Am I permitted to use 10 or so feet of straight 2 or 3-wall between elbows? The comments with chart seem to elude to that, and that it's only a "weight suppport" issue using straps. Thanks

Bholler, the taller scenario would be about 20-feet stove-to-shingles, plus 6 or 7 feet sideways via offset, plus 4 or 5 feet above the shingles. I don't care to go more than the minimum above the shingles, since I will be exiting near the peak either way.
The shorter method would be 8-feet lower in roof height (garage shingles-height vs. main house 2nd floor roof).
I am in NJ if that makes a difference in building code.

So is there a maximum allowable "slanted pipe" offset distance? Seems straight vertical from stove has no limits from what I'm gathering. Unfortunately, that does not pertain.