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WAEC Mathematics 2015 Question 24

Question 24

Trigonometry

PQRS is a square. If X is the midpoint of PQ, calculate, correct to the nearest degree, ∠SXP.

  1. A.53°
  2. B.55°
  3. C.63°
  4. D.65°
Show the answer and explanation

Answer: C (63°)

Explanation

In right triangle SPX, PS = side and PX = half the side, so tan∠SXP = 2 and ∠SXP ≈ 63°.