Sam has an old tree in his back yard that has died and needs to be removed. He refuses to pay someone to chop it down, so he plans to do it himself. However, there are several obstacles surrounding the tree that if the tree falls in that direction, it will destroy them. The house is 15 feet west of the tree, the pool is 12 feet east of the tree, the storage shed is 14 feet south of the tree and the garage is 13 feet north of the tree. Sam, who is 6 feet talldecides to use similar triangles to figure out the best direction to make the tree fall. He measures his shadow and the tree's shadow at the same time. His shadow is 3 feet and the tree's shadow is 8 feet. Draw a figure to demonstrate his similar triangles problem. Find the height of the dead tree. Which direction should the tree fall?