A very steep (but amazingly straight) mountain is inclined AA : 820 from horizontal. The distance from the base of the mountain to its peak is m : 3440 feet. A billionaire named Hilda wants to install a cable car to access her mountaintop hideaway. One station needs to be at the peak of the mountain and the other at a point a: : 1360 feet away from the base of the mountain on the amazingly flat plain as shown in the image below (not drawn to scale). station The shortest possible distance between the stations (the red line) is