WAEC Mathematics 2015 Objective — Question 24
Question 24 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.
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PQRS is a square. If X is the mid-point of PQ, calculate correct to the nearest degree, ∠PXS.
- A. 53°
- B. 55°
- C. 63°Correct
- D. 65°
Explanation
Taking the side of the square as 2 units, PX=1 and PS=2, so tan(∠PXS)=PS/PX=2/1=2, giving ∠PXS=tan⁻¹(2)≈63.43°≈63°.
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