SUMMARY
The discussion clarifies the distinction between "north of east" and "east of north" in terms of compass directions and angles. After skiing 3 km east and 1.5 km north, the angle calculated is 26.6 degrees. For "north of east," this angle remains as is, while for "east of north," the angle is determined by subtracting from 90 degrees, resulting in 63.4 degrees. Compass directions are conventionally measured in a clockwise manner, with north at 0 degrees and east at 90 degrees.
PREREQUISITES
- Understanding of basic trigonometry, specifically tangent functions.
- Familiarity with compass directions and their corresponding degrees.
- Knowledge of angle measurement conventions in navigation.
- Ability to perform basic arithmetic operations with angles.
NEXT STEPS
- Study the application of trigonometric functions in navigation and mapping.
- Learn about the use of compass roses in geographical orientation.
- Explore advanced trigonometric concepts, such as the Law of Sines and Cosines.
- Research the historical development of navigation techniques using angles and directions.
USEFUL FOR
Students studying trigonometry, navigators, outdoor enthusiasts, and anyone interested in understanding directional measurements and their applications in real-world scenarios.