Some creative amateur astronomers have been known to improve their view of the night sky by wearing scuba gear and observing the sky from the bottom of a swimming pool. Looking up from the bottom of a swimming pool, you are able to see a wider angle of the sky with a pool full of water than when the pool is empty because refraction at the air–water interface increases the range of angles in the sky that your eye can observe while looking straight up. For a swimming pool 10 m wide and 5.0 m deep, determine the ratio of the angular field of view one sees when the pool is filled with water to that when the pool is empty.