Subjects geometry

Bearing Calculation 4E0519

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

Search Solutions

Bearing Calculation 4E0519


1. **State the problem:** We need to find the bearing of point B from point A given that the angle between the north line at A and the line from A to B is 53° to the left (west) of north. 2. **Understanding bearings:** Bearings are measured clockwise from the north direction. North is 0° or 360°, east is 90°, south is 180°, and west is 270°. 3. **Given:** The angle between north and the line to B is 53° to the west of north. 4. **Calculate the bearing:** Since the angle is west of north, the bearing is calculated as: $$\text{Bearing} = 360^\circ - 53^\circ = 307^\circ$$ 5. **Interpretation:** The bearing of B from A is 307°, meaning starting from north, rotate clockwise 307° to point towards B. **Final answer:** The bearing of B from A is **307°**.