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GCE Mathematics 2024 Objective — Question 22

Question 22 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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A ladder 15m long leans against a vertical pole, making an angle of 72° with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.

  • A. A. 15.8m
  • B. B. 14.3m
  • C. C. 4.9m
  • D. D. 4.6mCorrect

Explanation

Distance from foot of ladder to pole = 15×cos72° = 15×0.309=4.635≈4.6m.

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