Subjects geometry

Bearing Oa A193E9

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1. **State the problem:** We need to find the bearing from point O to point A. 2. **Understanding bearings:** Bearings are measured clockwise from the North direction. 3. **Given information:** The angle between the East direction and the line OA is 78° measured counterclockwise. 4. **Find the angle from North to OA:** Since East is 90° clockwise from North, and the angle from East to OA is 78° counterclockwise, the angle from North to OA is: $$90^\circ + (180^\circ - 78^\circ) = 90^\circ + 102^\circ = 192^\circ$$ 5. **Interpretation:** The bearing from O to A is $192^\circ$ measured clockwise from North. **Final answer:** The bearing from O to A is $192^\circ$.