One day two geocachers (we'll call them Bryan and Ralph) were out looking for a particularly hard cache. They both had a good idea of where the container was but weren't sure of how to best get there. The trail in was easy to begin with, but then they got to a large rock! The rock was perfectly rectangular but surrounded with heavy thorns. They found themselves at one of the bottom corners of the rock and were absolutely positive that the cache container was at the bottom corner farthest away from them. Bryan (being the adventurous type) said, "Well! I don't like the look of those thorns so I'm going over this rock!" Ralph, being a bit less mobile said to Bryan, "You're nuts! There may be thorns, but I haven't donated any blood yet today. So I'm going around." What Ralph didn't know is that Bryan was secretly Spiderman in disguise and was able to scale the rock and go the absolute shortest distance.
Given that the rock was 100 feet tall, 157.9645 feet wide, and 583.2811 feet long, how far did Spiderman..... um I mean Bryan travel? You must compute the answer to 3 decimal places (rounded if necessary.) The non-decimal part of the answer is the North decimal and the decimal part is West decimal. The initial location has nothing to do with the puzzle (or the container) but would be a place you could possibly find a bit of help! You may assume N 33 43 and W 084 44
If it's not already obvious, this is a math puzzle. While the math involved isn't anything outside of early high school math, you must watch the precision of your computations. If you prefer, you can always calculate the multiple integral that computes the moment of inertia for the rock. (Since we're in Georgia, you can assume it's granite.) That answer won't help you at all, but it might be fun! :-)