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The diagram you've shared appears to involve navigation, likely using bearings and distances between points on a plane. Here’s a breakdown of what’s happening step-by-step:

### Diagram Elements:
1. **Three Locations (Points):**
   - There are three marked points: one at the bottom left (let's call it point A), one at the bottom right (point B), and one on top (point C).
   - Distances between these points are given:
     - From A to B: 42 km
     - From A to C: 24 km
     - From B to C: 35 km

2. **Angles and Bearings:**
   - There is an angle of **83°** marked at point A, suggesting the angle between two lines (likely related to the bearings between points).
   - Bearings are directions measured clockwise from North:
     - The bearing from point A to point C is **246° T** (True).
     - The bearing from point B to A is what we're trying to find.

### Calculations Explained:
- **α** is the small angle at point B between the North direction and the line joining A and B.
- **θ** is the bearing from point B to point A (denoted as **N θ° E** on the diagram).

#### Step-by-Step Breakdown:
1. **Finding α:**
   - α is derived from the angle at point A. It is calculated by subtracting the angles involved:
     \[
     α = 180^\circ - (246^\circ - 83^\circ)
     \]
     Simplifying:
     \[
     α = 180^\circ - 163^\circ = 15^\circ
     \]
     This gives the angle α as **15°**.

2. **Finding θ (Bearing from B to A):**
   - Once α is found, we calculate θ as:
     \[
     θ = 360^\circ - 15^\circ = 345^\circ
     \]
     Thus, the bearing from point B to A is **345° T** (True).

### Conclusion:
The problem is primarily about calculating the bearing (direction) between two points based on known distances and an angle, with the help of bearings.

Would you like more details on any of these steps?

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Here are 5 related questions:
1. What is the significance of true bearings in navigation?
2. How can bearings be calculated when distances and angles are given?
3. What other methods are there to calculate the angle between two points?
4. How does trigonometry play a role in solving navigation problems?
5. Can we apply the Law of Cosines to this type of navigation problem?

**Tip:** When working with bearings, always remember that they are measured clockwise from the North direction.

Explain the process of finding the bearing from point B to point A in the given navigation diagram.

This solution explains how to calculate the bearing from point B to point A using a navigation diagram. It involves applying trigonometry and basic angle summation to derive the bearing as 345°. Suitable for students in Grades 9-12.

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