WAEC Further Mathematics 2025 Objective — Question 34

Question 34 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

A body initially at rest is acted upon by forces F1=(6N,030°), F2=(8N,180°) and F3=(10N,090°). Find, correct to one decimal place, the magnitude of the resultant force.

A. 15.2 N
B. 13.8 N
C. 13.3 NCorrect
D. 12.5 N

Explanation

Resolving horizontally and vertically: ΣFx = 6sin30+10 = 13N; ΣFy = 6cos30-8 ≈ -2.804N. Resultant = √(13²+2.804²) ≈ 13.3N.

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