A fence 25 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the diagram L 0 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 25 sin 0 e 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 LADDER 5 cos 0 25 ft B Now find the derivative L 0 Type theta for 0 3 25 cos 0 58 0 5 ft