A fence 6 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the diagram. 3]? 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 9. (Hint: split the ladder into 2 parts.) Type theta for 6'. 15(6) 2 [B] Now, find the derivative, L '.(9) Type theta for 9. L'(9) = [C] Once you find the value of 6 that makes L '(6) = 0, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) L(9m-m) m feet