This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
12 \text{ km}$.
Here's how to solve the problem:
First, let's define the coordinates. We'll place point A at the origin . North is along the positive y-axis, and East is along the positive x-axis. Bearings are measured clockwise from North.
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Here's how to solve the problem: First, let's define the coordinates. We'll place point A at the origin (0,0).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.