Two lighthouses are 30 miles apart on each side of shorelines running north and south, as shown. Each lighthouse keeper spots a boat in the distance. One lighthouse keeper notes the location of the boat as 40 degrees east of south, and the other lighthouse keeper marks the boat as 32 degrees west of south. What is the distance from the boat to each of the lighthouses at the time it was spotted? Round your answers to the nearest mile. (Hint: Use the Law of Sines) please include the work