A ship captain at sea uses a sextant to sight an angle of elevation of 37°to the top of a lighthouse. After the ship travels 250 feet directly towardthe lighthouse, another sighting is made, and the new angle of elevation

is 50°. The ship’s charts show that there are dangerous rocks 100 feet from the base of the lighthouse. Find, to thenearest foot,how close to the rocks the ship is at the time of the second sighting.