An amusement park engineer wants to build the world's tallest waterslide. He uses a model drawn on the coordinate plane. The point where the slide touches the water
surface and ends is placed at the origin. The top of the slide is 180 feet above the
water surface. The ladder is perpendicular to the slide. The horizontal length between
the beginning and end of the slide is 240 feet. What is the total horizontal distance
from the bottom of the slide to the base of the ladder?