Bearings with Wind via Vector and Trigonometry

This example demonstrates how bearings (direction angles) change when wind is present, by visualizing the resulting heading/offset using geometric constructions. The key mathematical ideas are vector addition and decomposition to model wind plus intended travel, trigonometric functions to relate angles to right-triangle geometry, and the use of intersection points and segment constructs to read off the relevant bearing angles from the diagram. Construction-wise, it uses GeoGebra commands such as Vector to create the underlying vectors (e.g., u, v, and other direction components), Intersect to determine key crossing points that anchor the right-triangle/angle configuration, and Segment to build the directed edges used for angle measurement and comparison. Suitable for students learning trigonometry and vector-based modeling, from advanced high school through introductory college coursework, and for classroom activities focused on “bearing with wind” interpretation.