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Imagine a circus tent in which the roof of the tent is shaped like a right circular cone, with the tip of the cone

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Imagine a circus tent in which the roof of the tent is shaped like a right circular cone, with the tip of the cone being the highest and center-most point of the tent. (a) The outside wall of the tent is 8 feet high. Six feet toward the center pole from the outside wall, the tent is 11 feet high. The center pole of the tent is 50 feet from the outside wall. Draw and label a picture which matches this scenario. (b) What is the slope of the line that follows the roof of the circus tent? (c) Use the slope to find the height of the tent at its center pole. (d) A rope is attached to the roof of the tent at the top of the outside wall and anchors the tent to a stake in the ground. The rope follows the line of the tent roof. How far away from the tent wall is the anchoring stake?

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