A small light source is placed in the very center of the bottom of a bucket of water. The light from the source shines upwards. You might assume the index of refraction of water is 1.33.
1. If a light ray moves upward at an angle of 17 degrees from the vertical, at what angle will it refract out of the water?
2. If the bucket is 30 cm deep and 50 cm in diameter at the top, will all the rays that reach the surface be able to refract out of the water or will some undergo total internal reflection at the surface? Support your answer with mathematics.