Hey, what do you know, it does come out as about 0.61 degrees. Clearly the distance of the Sun of these dimensions from the Earth would have to be about 3500 miles for this to work. Sorry for causing unnecessary confusion.
Interestingly enough, when I did my first quick calculation (that made me say you're wrong in the first place), I made an elementary mistake that made then numbers just right. For a moment, I assumed we're talking about an equilateral triangle, so to get the unknown side, I divided 3000 (the height) by sqrt(3) and multiplied by 2. That gives us a side of 3464.1. Continuing with this mistake, I got the right numbers. I'm a bit stumped by my own stupidity here, but it seems like I wasn't the only one who made this mistake!
Thank you for showing this to me. I'll bring it up with the FAQ team soon.
EDIT: I'll re-write my calculations in a cleaner form and post them for review, just to make sure I'm not being a moron again.