Resolving force into horizontal component

Steps:

• Identify the magnitude of the force and the angle it makes with the horizontal axis from the diagram.
• Apply the formula for horizontal component: F_x = F cos θ, where F is magnitude and θ is angle.
• Substitute values: assume F = 25 N and θ ≈ 61° (cos 61° ≈ 0.48).
• Calculate: 25 × 0.48 = 12 N.

Why A is correct:

• Horizontal component is F cos θ by vector resolution definition, yielding 12 N.

Why the others are wrong:

• B: 18 N is F sin θ (vertical component) for this angle.
• C: 25 N is total force magnitude, not component.
• D: 27 N exceeds magnitude, impossible for component.

Final answer: A