Points X, Y and Z are located in the same horizontal plane such that Y is 12 km north of X and Z is on a bearing of 270^\circ from X. If |XZ| = 6km, calculate, correct to one decimal place, lYZl
A
18km
B
13.4km
C
13km
D
10.4km
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
ZY\(^2\) = 12\(^2\) + 6\(^2\)
ZY\(^2\) = 144 + 36 = 180
ZY = \(\sqrt{180}\)
= \(13.416\)
= 13.4 km
Source: Myschool Past Questions Archive (Record #26533)