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A fence 24 feet tall runs parallel to a tall building at a distance of 6 ft from the building as shown in the diagram

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A fence 24 feet tall runs parallel to a tall building at a distance of 6 ft from the building as shown in the diagram 0 LADDER 24 ft 6 ft Q We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wall of the building A First find a formula for the length of the ladder in terms of 0 Hint split the ladder into 2 parts Type theta for 0 L 0 B Now find the derivative L 0 Type theta for 0 L 0 C Once you find the value of that makes L 0 0 substitute that into your original function to find the length of the shortest ladder Give your answer accurate to 5 decimal places

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