A mean ogre has locked the princess of Polygonia into a tower of a castle. She could escape through the window, but it is 50 feet above the ground, a long distance to jump! A 10 foot wide moat full of alligators surrounds the tower. Naturally, Prince Pythagoras wants to rescue her. The prince has some rope. His plan is to use an arrow to shoot one end of the rope up to her window. The princess can then slide down the rope to the other side of the moat, and off they will ride into the sunset Help the prince save the princess and demonstrate your work as you complete the story by solving the problem. So, if the prince needs an extra 2 feet of rope for tying it to the window frame and holding it on the ground, how long does his rope need to be?