A low stone wall 27 inches high is 64 inches away from a building. What is the length of the shortest pole that passes over the fence and reaches the building? (Hint: The length of the pole is composed of two portions, the portion from the ground to the fence, and from the fence to the building. See Figure 13. Use the theorem of Pythagoras along with similar triangles to find the total length.)

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Building Pole 64 27 Figure 13: Ex. 29 Building Pole 64 27 Figure 13: Ex. 29