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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Step 1: Identify the given bearing. The bearing of P from Q is .
Step 2: Determine the rule for calculating the back bearing. To find the bearing of Q from P (the back bearing), we use the rule: If the forward bearing is greater than , subtract . If the forward bearing is less than , add .
Step 3: Apply the rule. Since is greater than , we subtract from the given bearing.
Step 4: Calculate the result. Bearings are typically expressed as three figures, so is written as .
The bearing of Q from P is .
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Identify the given bearing. The bearing of P from Q is 231^.
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.