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Post-UTME Mathematics 2009 Objective — Question 9

Question 9 of 15 from the Post-UTME Screening (Post-UTME) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

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A town P is on bearing 315° from town Q while town R is south of town Q and west of town P. If R is 60km away from Q, how far is R from P?

  • A. 30kmCorrect
  • B. 42km
  • C. 45km
  • D. 60km

Explanation

Using the 45° bearing geometry implied by the 315° bearing, the resulting right-triangle relationship gives approximately 30km.

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