In Greek mythology, Sisyphus, the king of Corinth, is cursed with pushing a boulder up a hill for all eternity. Sisyphus weighs 135 pounds. Sisyphus needs to exert more than 8,512 pounds of pressure to move the boulder up the hill. The boulder is 192 pounds lighter than 104 times his body weight. 1a. The boulder is 192 pounds lighter than 104 times his body weight. What is the minimum angle of incline of the hill? Provide your answer in degrees with four significant digits. (4.25 points)
1b. Sisyphus finds a power drill on the side of the mountain and realizes that if he drills a hole directly into the boulder, he can make it lighter. He spends a few hours drilling small holes in the boulder, and now only needs 8,448 pounds of pressure to move the rock up the hill. If Sisyphus was able to remove 0.52 pounds of stone from the boulder with each hole that he drilled, how many holes did he drill into total? Round to the nearest whole number (use your answer from 1a for the angle of incline)