It's 7 to 9 miles, depending on your route. Going by way of I-4 (West Sand Lake Road entrance that's just a bit north of the hotel) Google Maps puts it at 8.4 miles and an estimated 14 minutes. I'd suggest that the actual time may be more as the traffic along that part of International Drive can be slow at times - depending on when you go. I'd recommend allotting 20 minutes or so travel time (and looking for a parking space at DTD) and be pleasantly surprised if it takes less than that.
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