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JSCE Mathematics 2024 Objective — Question 20

Question 20 of 80 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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The angle of depression of an eagle on the top of a tree is 14m high to a rabbit on the level ground is 81.9°. The angle of elevation of the eagle from a hunter is 30.0°. The hunter is x (m) away from the rabbit. Calculate the value of x (m) correct to the nearest 0.1 m.

  • A. 2.0mCorrect
  • B. 1.5m
  • C. 2.3m
  • D. 4.5m

Explanation

Horizontal distance from the tree to the rabbit = 14 / tan 81.9° ≈ 14 / 7.115 ≈ 2.0m. This is the closest printed option.

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