WAEC Further Mathematics 2015 Question 22

Question 22

Statics

Forces of magnitude 8 N and 5 N act on a body as shown in the diagram. Calculate, correct to 2 decimal places, the angle that the resultant makes with the horizontal.

A.80.76°
B.75.00°
C.71.99°
D.15.00°

Show the answer and explanation

Answer: A (80.76°)

Explanation

tan θ = 8.157/1.327 ≈ 6.15, so θ ≈ 80.76°.