I was hoping someone with a bit of geometry-figuring would make a suggestion
as to where the tarp ends up suspended if one side's anchor is 10metres up a
tree and the other is about 2 metres -- seems MIGHTY drafty cover, to me!

For tying to the tarp, as you suggest, the grommets might not be well
made & anchored, so go to the tarp directly. I'd run in & out of the
grommet, and inbetween put a coil around the bunched tarp, as a
friction gripping (but no way slipping, given the through-grommet
approach) distribution of the bite of the cord against the textile -- it
would have roughly half tension on each of two legs doing the wrapping,
and not bringing full load on one line around the material. Then you
need to tie off the end, and you can use your Tautline or make a
Bowline with it.
You might also be able to treat the clump of tarp corner qua thick
rope, and tie a Double Sheet bend to it; but I think that this will
demand more of the material come into play and be crunched
(crunched father in from the corner) than the method you use
or which I've suggested above.
But I'm having a lot of trouble seeing how a tarp drawn tight
with a 30' high anchorage of one side is reasonable.
The tautline hitch (and any number of variants, but most surely
NOT a Versatackle!) works fine, yes? Should you need a bit more
grip, you can
guard it with a preceding Half-hitch or double
turn (i.e., as though starting to tie the hitch and then thinking
better of it and leaving the two turns there but reaching again
and THEN tying a full hitch to finish. Question of the closing
HH of the Taut-line loosening? -- put in a stopper knot in the
tail to, well,
stop that.
Tying to the rock has the best solution as Roo suggests, of using
an enclosure to capture the rock, and then tying to that surely.
(I don't like any of Roo's suggested hitches for this; maybe the
variation of the Timber Hitch with a roundturn on the SPart so
to enable it to be cinched snug to the rock, but even that
leaves me worried about losing the rock (of course, shape
matters). Moreover, the bag could hold not a rock but just
lose matter (sand, say), which we'd have much greater trouble
tying up (Monkey's fist, perhaps

) !
Cheers,
--dl*
ps: Carpaccio, you'd do well to Edit out the copy of ALLLL that
replied-to message text: we have the long msg. in original form
and it's a nasty and sadly common habit many have of just spewing
stuff out in full again, all to add a single line or two.
Yep, RooToo! (Most nasty in photo forums where entire large
images get copied to join "Nice shot, Glenda!" reply. Nothing
a well-directed bolt of lightning couldn't clear up, but I got the
economy model computer which lacks that feature.)
