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The bearing of two points Q and R from a point P are 030º and 120º, respectively....

Mathematics
WAEC 2025

The bearing of two points Q and R from a point P are 030º and 120º, respectively. If |PQ| = 12 m and |PR| = 5 m, find the distance QR.

  • A. 11 m
  • B. 13 m
  • C. 9 m
  • D. 7 m
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Correct Answer: Option B
Explanation

△PQR is right-angled at P.

Using Pythagoras theorem:

QR\(^2\) = PQ\(^2\) + PR\(^2\) = 144 + 25 = 169

QR = \(\sqrt{169}\) = 13 m

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