Resolve forces into components and sum for resultant

Steps:

• Resolve the first cable force (10 N horizontal): Fx₁ = 10 N, Fy₁ = 0 N.
• Resolve the second cable force (from diagram, magnitude ≈13 N at ≈52° to horizontal): Fx₂ ≈ 8 N, Fy₂ = 10.2 N.
• Sum horizontal components: Fx = 10 N + 8 N = 18 N.
• Sum vertical components: Fy = 0 N + 10.2 N = 10.2 N.

Why C is correct:

• The resultant components are the vector sum of individual force components, per the parallelogram law of vector addition.

Why the others are wrong:

• A: Likely miscalculates small-angle approximations or subtracts components instead of adding.
• B: Uses only the slanted force's components, ignoring the horizontal force.
• D: Identical to C, possibly a duplicate option.

Final answer: C