WAEC Mathematics 1997 Question 43

Question 43

Trigonometry

Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the nearest degree, the smallest angle of the triangle.

  1. A.35°
  2. B.36°
  3. C.37°
  4. D.38°
  5. E.53°.
Show the answer and explanation

Answer: C (37°)

Explanation

The smallest angle is opposite the 6 cm side: tan θ = 6/8 = 0.75, so θ ≈ 36.9° ≈ 37°.