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WAEC Further Mathematics 2024 Question 33

Question 33

Coordinate Geometry

Find, correct to the nearest degree, the acute angle between 3x − y − 5 = 0 and 7x − y − 3 = 0.

  1. A.10°
  2. B.11°
  3. C.24°
  4. D.27°
Show the answer and explanation

Answer: A (10°)

Explanation

Gradients are 3 and 7. tan θ = (7 − 3)/(1 + 21) = 4/22, so θ ≈ 10.3° ≈ 10°.