A fence 8 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. LADDER 8 ft 2 ft 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 0 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.) %3D L(0 min ) - feet

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