Math Problem Statement

Answer number 7

From the figure, determine the true bearing of B from A.

Solution

To determine the true bearing of BB from AA, we’ll analyze the information given:

  1. Figure Analysis:

    • NAB=50\angle NAB = 50^\circ (bearing of BB from AA relative to north).
    • ABC=103\angle ABC = 103^\circ.
    • BCA=48\angle BCA = 48^\circ.
  2. True Bearing of BB from AA:

    • The true bearing is the angle measured clockwise from the north line at AA.
    • Here, the bearing is already provided directly as 5050^\circ.

Thus, the answer to question 7 (the true bearing of BB from AA) is: 50 degrees.

Would you like more details or have any further questions?


Related Questions:

  1. What is the bearing of AA from BB based on the given information?
  2. How can we calculate the bearing of CC from BB using trigonometric rules?
  3. What trigonometric rules apply to finding bearings in non-right triangles?
  4. Can the true bearing of CC from AA be determined with the given angles?
  5. How would the bearing change if NAB\angle NAB were increased?

Tip:

When solving for bearings, always measure clockwise from north and check if you can directly use given angles without needing extra calculations.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Bearings
Angles

Formulas

Bearing calculation
Sum of angles in a triangle (180 degrees)

Theorems

Triangle angle sum theorem

Suitable Grade Level

Grade 11