Two people are walking toward each other on a path through the park. The path runs east and west. A hot air balloon is directly above the path between them. One of the walkers, a female, sees the balloon when looking east at an

angle of elevation of 46°. The other walker, a male, sees the balloon looking west at an

angle of elevation of 72°. If the walkers are 55 yards apart, how far is the balloon from the male observer?