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A 16-foot ladder is placed against the side of a building, as shown in Figure 1 below. The bottom of the ladder is 8 feet from the base of the building. In order to increase the reach of the ladder against the building, the ladder is moved 4 feet closer to the base of the building, as shown in Figure 2 below. To the nearest foot, how much farther up the building does the ladder now reach? Show how you arrived at your answer.
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