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JAMB Mathematics 2023 Objective — Question 34

Question 34 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is the distance apart on the pole, correct to two decimal places?

  • A. 2.00m
  • B. 2.53mCorrect
  • C. 2.54m
  • D. 6.06m

Explanation

|PA|=7sin60°=6.0622m; |QA|=5sin45°=3.5355m. Distance=6.0622-3.5355≈2.53m.

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