Subjects trigonometry

Bearing Calculation

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Bearing Calculation


1. **State the problem:** We need to find the bearing of point U from point T given that the angle between the vertical line from T to N and the line from T to U is 76° to the left of north. 2. **Understand bearings:** Bearings are measured clockwise from the north direction. North corresponds to 0° or 360°, east is 90°, south 180°, and west 270°. 3. **Analyze the angle:** The line from T to U is 76° to the left of north, meaning it is 76° west of north. 4. **Calculate the bearing:** Since bearings are measured clockwise, to convert a 76° angle west of north to a bearing, we subtract 76° from 360° (full circle) because west of north means clockwise from north is 360° - 76°. $$ \text{Bearing of U from T} = 360^\circ - 76^\circ = 284^\circ $$ 5. **Interpretation:** The bearing from T to U is 284°, meaning if you face north at T and turn 284° clockwise, you face U.