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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
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Correct Answer: Option B
Explanation

ZY\(^2\) = 12\(^2\) + 6\(^2\)

ZY\(^2\) = 144 + 36 = 180

ZY = \(\sqrt{180}\)

= \(13.416\)

= 13.4 km

 

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