i was going west along Lake Ontario's southern shore from Oak Orchard to Olcott, a distance of 22nm. About half way I noticed this Benetau 36 or 38 heading from across the lake straight to nothing along the shoreline. It was a very nice boat. As it approached the shore, which was devoid of any harbors for 12 miles in either direction, we began to worry that perhaps the boat was on AP with no one aboard. Strong storms had just missed us to the north and any boat crossing would have been hit. Then we saw the boat head west, but in short order it turned due east. Then it headed out to us. Now mind you, a very prominent landmark is a power plant visible from 20 miles out and is the only thing within 50 miles that is prominent. The boat was from Ottawa, ON with two older gents aboard and they wanted to know where they were and what harbors were nearby. They knew of the harbor at Ontario on the Lake, but had no idea of direction or distance. Go figure.