Having gotten caught in a fog not long ago, and being in relatively shallow water, I decided to anchor and wait until the weather improved. I had been navigating with my GPS and that worked quite well, but I didn't want to risk a grounding or collision with other vessels in the area, two of the few things that a GPS won't help much with. After getting the anchor down, I sat in the cockpit and listened the the VHF (I also rang my bell every few minutes to let others know where I was). I monitored a local conversation between another boat and the Coast Guard. The other boat was aground in the fog a few miles away and was asking for assistance from the USCG (which offered to refer him to a local tow boat company as no danger was apparently involved). But what got my interest was the Coast Guard asking the other boat operator if he had a GPS aboard. He did. Then the Coasties asked him for his position, which was then provided. I'm assuming that since this other boat was not moving, whatever position he was reading on his GPS would not be very accurate. Is this correct?