WAEC Mathematics 2019 Objective — Question 24

Question 24 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

24. In ΔXYZ, |YZ| = 32cm, ∠YXZ = 52° and ∠XZY = 90°. Find, correct to the nearest centimeter, |XZ|.

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

Explanation

tan52° = 32/|XZ| ⇒ |XZ| = 32/tan52° = 32/1.27994 ≈ 25.001cm ≈ 25cm.

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