A fence 30 feet tall runs parallel to a tall building at a distance of 6 ft from the building as shown in the diagram L 0 e LADDER 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 30 ft 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 Now find the derivative L 0 Type theta for 0 L A 6 ft Once you find the value of that makes L 0 first derivative test and then substitute this value into the original function to find the length of the 0 verify that it is indeed a minimum using the shortest ladder Give your answer accurate to 3 decimal places