Two ladders are placed cross-wise in an alley to form a lopsided X-shape. The walls of the alley are not vertical, but are parallel to each other. The ground is flat and horizontal. The bottom of each ladder is placed against the opposite wall. The top of the longer ladder touches the alley wall 18 feet vertically higher than the top of where the shorter ladder touches the opposite wall, which in turn is 6 feet vertically higher than the intersection of the two ladders. How high vertically above the ground is that intersection?

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Two ladders are placed cross-wise in an alley to form a lopsided X-shape. The walls of the alley are not vertical, but are parallel to each other. The ground is flat and horizontal. The bottom of each ladder is placed against the opposite wall. The top of the longer ladder touches the alley wall 18 feet vertically higher than the top of where the shorter ladder touches the opposite wall, which in turn is 6 feet vertically higher than the intersection of the two ladders. How high vertically above the ground is that intersection?

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