NASA
Nasa: What Is Trigometry Good For?
This site from NASA is for anyone who has ever asked "Why do I need to know this," this is a must read for you. It documents historical uses of trigonometry.
University of Georgia
University of Georgia: Navigation Problems
These two navigation problems employ the use of the law of sines or cosines and basic trigonometry. Each problems includes links to a sketch of the problem for visual help, and to a solution.