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WAEC 2023 · Paper 1 · Q24

Mrs Kebeh stands at a distance of 110 m110\text{ m} away from a building of vertical height 58 m58\text{ m}. If Kebeh is 2 m2\text{ m} tall, find the angle of elevation of the top of the building from her eye.

Worked solution (try it first)
  1. Measure from her eye: the top of the building is 58−2=5658 - 2 = 56 m higher, and 110 m away.
  2. So tan⁡θ=56110≈0.509\tan\theta = \frac{56}{110} \approx 0.509.
  3. So θ≈26.98∘\theta \approx 26.98^\circ, which is 27∘27^\circ to the nearest degree, option B.

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