Two vertical poles, 10ft. apart, are both 10ft. tall. Find the length of the shortest rope that can reach from the top of one pole to a point between them, and then to the top of the other pole. To solve the problem, answer the following:

a) Express the length of rope used as a function ofone variable.

b) Using the function you arrived at in part (a), determine the minimal length of rope needed. At what point on the ground will the rope touch?