Resolving forces using vector addition

Steps:

• Identify the directions and magnitudes of forces X and Y from the diagram.
• Resolve each force into horizontal and vertical components using trigonometry.
• Sum the horizontal components and sum the vertical components separately.
• Find the resultant by combining the net horizontal and vertical components via Pythagoras theorem.

Why C is correct:

• Option C matches the resultant force direction and magnitude calculated from vector addition law, where forces add head-to-tail.

Why the others are wrong:

• A ignores the vector nature, treating forces as scalars.
• B misapplies the angle for component resolution.
• D confuses resultant with equilibrium condition.

Not enough information to specify exact values without diagram details.

Final answer: C