In reply to tallsteve:
To be a pedant on your maths... Is your waist also 2m tall?
If you take it that your harness is halfway up your body, and thus belay plate, you're closer to 3m short of reaching the ground. This isn't taking rope stretch into account. You could extend like deep soup mentioned for those margins.
3m is quite a way to "dodgy dangle" and you'll still be aiming to reach up to closer to 4m for retrieval. Even with a name like "tallsteve", that's a long way.
My vote would be to look for a longer rope, be it buying one, borrowing, or asking another party as previously mentioned.