GCE Mathematics 2024 Objective — Question 44
Question 44 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 cliff on the bank of a river is 45m high. A boat on the river is 22m 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.
- A. A. 76°
- B. B. 64°Correct
- C. C. 36°
- D. D. 24°
Explanation
Angle of depression = arctan(height/distance) = arctan(45/22) = arctan(2.045) ≈ 64°.
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