Zippy's Zip Line Land plans to install a new zip line between two trees. One tree is 45 feet east (x coordinate) of the storage hut and the other is 25 feet north ( y coordinate) of the storage hut. The end of the zip line on the tree cast of the hut will be at a height (z coordinate) of 46 feet and the other end will be at a height of 39 feet on the tree north of the hut. If the zip line is stretched taut, how many feet of zip line is needed. Round your answer to the hundredths place.