In XYZ, |YZ| = 32cm, ∠ YXZ = 53° and ∠ XZY = 90°. Find,

MATHEMATICS
WAEC 2019

In XYZ, |YZ| = 32cm, ∠ YXZ = 53° and ∠ XZY = 90°. Find, correct to the nearest centimetre, |XZ|

  • A. 31 cm
  • B. 25 cm
  • C. 20 cm
  • D. 13 cm

Correct Answer: B. 25 cm

Explanation

Tan 52\(^o\) = \(\frac{32}{\text{|XZ|}}\)

|XZ| = \(\frac{32}{Tan 52^o}\)

= 25cm



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