WAEC Mathematics 2012 Objective — Question 18
Question 18 of 50 from the West African Examinations Council (WAEC) Mathematics 2012 Objective paper, with the correct answer and a full explanation.
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In the diagram above, |QR|=10m, |SR|=8m, ∠QPS=30°, ∠QRP=90° and |PS|=x. Find x.
- A. 1.32m
- B. 6.32m
- C. 9.32mCorrect
- D. 17.32m
Explanation
tan30° = 10/(8+x). 8+x = 10/tan30° = 17.32. x = 17.32−8 = 9.32m.
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