WAEC Mathematics 2024 Question 33

Question 33

Triangles and Quadrilaterals

Find, correct to the nearest whole number, the value of h in the diagram.

Diagram for this question
  1. A.16 m
  2. B.22 m
  3. C.23 m
  4. D.18 m
Show the answer and explanation

Answer: C (23 m)

Explanation

The sloping 20 m side spans 19 m horizontally, so it rises √(20² − 19²) = √39 ≈ 6.2 m. h = 17 + 6.2 ≈ 23 m.