Asmall resort is situated on an island off a part of the coast of mexico that has a perfectly straight north-south shoreline. the point p on the shoreline that is closest to the island is exactly 6 miles from the island. ten miles south of p is the closest source of fresh water to the island. a pipeline is to be built from the island to the source of fresh water by laying pipe underwater in a straight line from the island to a point q on the shoreline between p and the water source, and then laying pipe on land along the shoreline from q to the source. it costs 2.2 times as much money to lay pipe in the water as it does on land. how far south of p should q be located in order to minimize the total construction costs?