Points X, Y and Z are located in the same horizontal plane such that Y...
MATHEMATICS
WAEC 2002
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° from X. If |XZ| = 6km, calculate, correct to one decimal place, lYZl
- A. 18km
- B. 13.4km
- C. 13km
- D. 10.4km
Correct Answer: B. 13.4km
Explanation
ZY\(^2\) = 12\(^2\) + 6\(^2\)
ZY\(^2\) = 144 + 36 = 180
ZY = \(\sqrt{180}\)
= \(13.416\)
= 13.4 km
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