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JAMB Mathematics 1984 Question 28

Question 28

Trigonometry

Using ΔXYZ in the figure above find XYZ.

Diagram for this question
  1. A.29°
  2. B.31°20'
  3. C.31°
  4. D.31°18'
  5. E.59°.
Show the answer and explanation

Answer: D (31°18')

Explanation

By the sine rule, sin Y/3 = sin 120°/5, so sin Y = 3 × 0.866/5 ≈ 0.5196 and Y ≈ 31°18'.