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WAEC Mathematics 2024 Objective — Question 44

Question 44 of 50 from the West African Examinations Council (WAEC) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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44. A cliff on the bank of a river is 87 m high. A boat on the river is 22 m away from the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

Diagram for question 44
  • A. 76°Correct
  • B. 64°
  • C. 36°
  • D. 24°

Explanation

tan α = 87/22 = 3.9545; α = tan⁻¹(3.9545) ≈ 76°.

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