I must say that's a position I've never seen them in. I like the basking in the sun position. She (I'm assuming it's a female, in the wild the males are loners and I know I've seen multiple cheetahs there at once, so I assume they're girls) is relaxing, but still keeping her eye on the safari vehicles.
The distance the cheetahs maintain has always been a frustration for me. I'm a cat person. In truth lions and tigers don't excite me, I like the lesser of the big cats. Leopards, Cheetahs, etc. I want to take fantastic cheetah pictures.. but as far away as they are I'd practically need a 500mm lens, and also a tripod and for the ride vehicle to stop due to the long focal length.
Oh well.. being able to get literally within an arm's length of the snow leopards (which are actually more closely related to cheetahs than leopards, you can see it in their long tails) at my local zoo kind of makes up for it. I just can't get quite as natural looking a background.