Explore a fascinating application of rational spherical trigonometry in this 43-minute lecture. Learn how to calculate the distance and bearing between two points on Earth using latitude and longitude coordinates. Compare classical and modern derivation methods to solve a real-world problem: determining the distance and flight path from Sydney to New Delhi. Discover the advantages of rational spherical trigonometry over traditional approaches. Delve into topics such as spherical coordinates, cosine law, sine law, cross law, and spread law. Gain valuable insights into practical applications of advanced mathematical concepts in navigation and geography.