Consider a common mirage formed by super-heated air just above a roadway. A truck driver whose eyes are 2.00 m above the road, where n = 1.0005 looks forward. She perceives the illusion of a patch of water ahead on the road, where her line of sight makes an angle of 1.15° below the horizontal. Find the index of refraction of the air just above the road surface. (Treat this as a problem in total internal reflection. Give your answer to 5 decimal places.)