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Points X, Y and Z are located in the same horizontal plane such that Y…

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: Option B
Explanation

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

ZY(^2) = 144 + 36 = 180

ZY = (sqrt{180})

= (13.416)

= 13.4 km