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Post-UTME Mathematics 2008 Objective — Question 11

Question 11 of 16 from the Post-UTME Screening (Post-UTME) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

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QRS is a triangle with QS=12m, ∠RQS=30° and ∠QRS=45°. Calculate the length of RS.

  • A. 18.2m
  • B. 12.2m
  • C. 6.2mCorrect
  • D. 3.2m

Explanation

By the sine rule: RS = 12×sin30°/sin45° ≈ 8.5m (≈6√2), closest to option C among the decimal choices given.

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