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WAEC Mathematics 1997 Question 20

Question 20

Trigonometry

The diagram below is a triangle XYZ whose area is 23.5cm2. XY = 10cm and YZ = 8cm, calculate θ, correct to the nearest degree.

Diagram for this question
  1. A.34°
  2. B.35°
  3. C.36°
  4. D.37°
  5. E.40°
Show the answer and explanation

Answer: C (36°)

Explanation

Area = ½ × 10 × 8 × sin θ = 23.5, so sin θ = 0.5875 and θ ≈ 36°.