Subjects geometry

Bearing Calculation 8C801F

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Bearing Calculation 8C801F


1. **Problem statement:** Find the bearing of point B from point A given that the angle between the north line at A and the line AB is 53° to the west of north. 2. **Understanding bearings:** Bearings are measured clockwise from the north direction. The north line is 0° or 360°, east is 90°, south is 180°, and west is 270°. 3. **Given:** The line from A to B makes a 53° angle west of north. This means starting at north (0°), we rotate 53° towards the west (counterclockwise). 4. **Calculating the bearing:** Since bearings are measured clockwise from north, the bearing of B from A is: $$\text{Bearing} = 360^\circ - 53^\circ = 307^\circ$$ 5. **Explanation:** We subtract 53° from 360° because the angle is west of north, so the clockwise bearing is the full circle minus that angle. 6. **Final answer:** The bearing of B from A is **307°**.