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WAEC Mathematics 2003 Question 34

Question 34

Trigonometry

In a ΔXYZ, |YZ| = 6cm ∠YXZ = 60° and ∠XYZ is a right angle. Calculate |XZ| in cm, leaving your answer in surd form

  1. A.2√3
  2. B.4√3
  3. C.6√3
  4. D.12√3
Show the answer and explanation

Answer: B (4√3)

Explanation

YZ is opposite the 60° angle and XZ is the hypotenuse: XZ = 6/sin 60° = 6 ÷ (√3/2) = 12/√3 = 4√3.