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A point P is on a bearing of 231° from a point Q. What is the bearing of Q from P?

April 17, 2026Mathematics

ScanSolve AI Answer

Answer

\text{}051^\circ\text{}

4 steps

Identify the given bearing.
The bearing of P from Q is $231^\circ$ .
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 $180^\circ$ , subtract $180^\circ$ .
If the forward bearing is less than $180^\circ$ , add $180^\circ$ .
Apply the rule.
Since $231^\circ$ is greater than $180^\circ$ , we subtract $180^\circ$ from the given bearing.
$\text{Bearing of Q from P} = 231^\circ - 180^\circ$
Calculate the result.
$231^\circ - 180^\circ = 51^\circ$
Bearings are typically expressed as three figures, so $51^\circ$ is written as $051^\circ$ .

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