The following questions are for a final class project. Obviously these questions are very hard, and I am unsure how to completely answer these with the proper and complete work shown. Help on answering these questions with work/ steps would be greatly appreciated.

11. A round clock displays the time 2:30am. The length of the minute hand measures 18cm and the length of the hour hand measures 12cm. How far apart are the tips of the hands?

12. A group of mountain climbers are using trigonometry to find the height of a mountain. From point A which is due west of the mountain, the angle of elevation to the top is 27°. From point B which is due west of the mountain the angle is 34°. Point A and B are 9.5m apart. How high is the mountain?