1. **Problem statement:** We have an equilateral triangle formed by towns L, M, and N. The bearing of M from L is 103°. We need to find the bearing of L from N.
2. **Understanding bearings:** Bearings are measured clockwise from the north direction. An equilateral triangle has all sides equal and all internal angles equal to 60°.
3. **Given:** Bearing of M from L is 103°. This means if you stand at L facing north, you turn 103° clockwise to face M.
4. **Step to find bearing of L from N:** Since the triangle is equilateral, all sides and angles are equal.
5. **Visualizing the triangle:**
- L to M bearing is 103°.
- The angle at each vertex is 60°.
6. **Calculate bearing of N from L:**
Since the triangle is equilateral, the bearing from L to N is 103° - 60° = 43°.
7. **Calculate bearing of L from N:**
The bearing from N to L is the bearing from L to N plus 180° (because bearings are directional and opposite directions differ by 180°).
So, bearing of L from N = 43° + 180° = 223°.
8. **Final answer:** The bearing of L from N is **223°**.
Bearing From N Da1F5C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.