After speaking with Krisciunas, I took a piece of ½-inch masking tape on which I had penned a couple of measurement lines, and placed it on my thumbnail. I went outside, casually held my thumb up to the Moon, and measured the Moon's north-south extent against the ruled lines. Next I measured the distance from my dominant eye to my extended thumb. Back inside, I measured the Moon's projected size on the tape with a ruler.
The result? At that date and time, the Moon was 32 arcminutes in apparent diameter. My measurement? 34 arcminutes, off by only 6 percent ... not bad for a casual experiment! I know I can do better, and I bet you can, too!
Krisciunas and I would love to hear about your experiences. Send reports to firstname.lastname@example.org