Navigation Using Bearings

Introduction to Bearings

• Bearings are often used in navigation to determine direction.
• Objective: Given two points, A and B, find the bearing of B from A.
• Bearings help specify the exact direction to travel from one point to another.

Rules for Using Bearings

1. Measurement Start: Always measure the angle starting from north.
2. Direction: Measure the angle clockwise from north.
3. Format: Bearings are expressed using three digits (e.g., 065 degrees).

Example Problem: Finding Bearings

• Example 1: Determine the bearing of point B from point A.

  • Draw a north line at point A.
  • Measure the clockwise angle from north to line AB.
  • If the angle is 65 degrees, express it as 065 degrees.

• Example 2: Find the bearing of point P from point Q.

  • Start at Q and measure the angle to P going clockwise from north.
  • If the angle is 310 degrees, it is already in three-digit format.

Practical Tips

• Protractor Limitation: Most protractors measure up to 180 degrees.
  • For larger angles (e.g., 310 degrees), measure the smaller angle (e.g., 50 degrees) and calculate using 360 - smaller angle.

Real Exam Scenario

• Complexity in Exams: Bearing questions may include extra information or require more complex calculations.
  • Example: Given bearings from two people (A and B) to a pond, find the pond's location.
  • Use bearings and north arrows provided.
  • Measure and draw bearings on the diagram.
  • Cross the lines to locate the pond (point P).

Conclusion

• Bearings are crucial for navigation and solving related problems requires understanding the key rules and applying them practically.

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