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WAEC Further Mathematics 2013 Question 22

Question 22

Statics

Forces 50N and 80N act on a body as shown in the diagram. Find, correct to the nearest whole number, the horizontal component of the resultant force.

Diagram for this question
  1. A.13N
  2. B.43N
  3. C.57N
  4. D.95N
Show the answer and explanation

Answer: A (13N)

Explanation

Horizontal: 80 cos 45° − 50 cos 30° = 56.57 − 43.30 = 13.27 ≈ 13 N.