Miguel needs to fix a window screen that is 23 feet above the ground the ladder he uses makes a 75 angle with the ground what is the shortest possible length of the ladder if the top of it is 23 feet off the ground?

Me with this assignment ! i only partially understand, so explain. also it's a work sample. at the championship bike race, steve and paula were fighting for first place. steve was 175 feet ahead of paula and had only 300 feet left to go. he was very tired and was going only 9 feet per second. paula was desperate to catch up and was going 15 feet per second. who won the bike race and by how far did she/he win?