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Problem Description A tripod has three legs each of length \(5\) feet. When the tripod is set up, the angle between any pair of legs is equal to the angle between any other pair, and the top of the tripod is \(4\) feet from the ground. \[ \text{1. What is the area between the points where the legs meet the ground?} \] \[ \text{2. What angle does the slope make with each face?}\] In setting up the tripod, the lower 1 foot of one leg breaks off. \[ \text{1. What is the area between the points where the legs meet the ground?} \] \[ \text{2. (*) What is the new height of the tripod?} \]

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