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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
△PQR is right-angled at P.
Using Pythagoras theorem:
QR\(^2\) = PQ\(^2\) + PR\(^2\) = 144 + 25 = 169
QR = \(\sqrt{169}\) = 13 m
Source: WAEC / JAMB / NECO Classroom Archive (Record #75913)