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NECO 2024 · Paper 1 · Q39

A bird on top of a building 35 m35\text{ m} high observes a prey 25 m25\text{ m} away from the foot of the building. Calculate the angle of depression of the prey from the bird.

Worked solution (try it first)
  1. The angle of depression equals the angle of elevation of the bird from the prey (alternate angles).
  2. The height 35 m is opposite the angle and 25 m is adjacent: tan⁡θ=3525=1.4\tan\theta = \frac{35}{25} = 1.4.
  3. So θ=tan⁡−11.4≈54.46∘\theta = \tan^{-1}1.4 \approx 54.46^\circ, option C.

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