Subjects geometry

Bearing Calculation

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem statement:** We need to find the bearing of point A from point B, and the bearing of point B from point A. 2. **Understanding bearings:** Bearings are measured clockwise from the north direction (0° or 360°) to the line connecting two points. 3. **Given information:** - Bearing of B from A is given as 73° (angle from north at A to B). - Bearing of A from B is given as 107° (angle from north at B to A). - Additional bearings 253° and 287° are shown near points B and A respectively, but the key bearings are 73° and 107°. 4. **Finding bearing of A from B:** The bearing of A from B is the direction from B to A measured clockwise from north at B. Given as 107°. 5. **Finding bearing of B from A:** The bearing of B from A is the direction from A to B measured clockwise from north at A. Given as 73°. 6. **Verification:** Bearings from A to B and from B to A differ by 180° because they are opposite directions. Check: $73° + 180° = 253°$ and $107° + 180° = 287°$. These correspond to the additional bearings shown near B and A, confirming the data. **Final answers:** - Bearing of A from B is $107^\circ$. - Bearing of B from A is $73^\circ$.