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UI Post-UTME Mathematics 2022 (Model questions) Question 21

Question 21

Trigonometry

Habib walked 16m up a slope and was 6m above the ground. If he walks 24m further up the slope, how far above the ground will he be?

  1. A.9.0m
  2. B.12.0m
  3. C.15.0m
  4. D.18.0m
Show the answer and explanation

Answer: C (15.0m)

Explanation

Height grows in proportion to distance along the slope: h/40 = 6/16, so h = 15 m.