I can tell you this, that after cutting all types of hills and slopes for 20 years, there is not a set figure for safe. As someone mentioned above, a small something can change the scenario. One does get comfortable with cutting something familiar, and it is by the seat of the pants feeling that guides you to the fear level.
I had been cutting this one slope for over a year, and this one morning, the grass apparently was a little wet, and I messed up and made a down hill turn. The Dixie Chopper started sliding and me in full reverse, sliding about 30 ft and over a 6 ft drop off.
If full reverse the levers are in front of you and locked and you can not change that. So some emergency thinking came to mind and I put the levers to neutral and open the levers so I could get out. This happen as the mower was going over the dropout. I dove off the falling mower and hit hard with the mower landing on me. It crushed me a bit and split the muscle in my leg.
Just to the left of me was and outside AC unit, and if if I had have rolled off the slop at that spot, things would not have worked out for me.
Sometimes I would run up a steep slope at a 45 degree angle to the slope, get to the top, and come down at a 45 degree angle and do that until the slope was cut.
Some good advice about cutting slopes around water, take those seat belts off. The fear of rolling over in water is enough to block your thinking about releasing your seat belt as you roll over in the water. How would like the paper to read, that he was wearing his seat belt, but he drowned.
If you cut around a pond or slope the same direction, a counter weight opposite the water would help .
Here are some alternative ways of cutting slopes.