Final answer:
The question pertains to physics and involves understanding how work is calculated when a force is applied at different angles to the direction of motion.
Step-by-step explanation:
The question appears to be about physics, specifically dealing with the concepts of work and force vector components. When a force is applied at a 30-degree angle to the direction of motion, the component of the force that does work is determined by the cosine of the angle between the force and motion. Since cos 90º = 0, a force at 90 degrees to the motion does no work, as it is all directed perpendicular to the motion. For a displacement at a 30-degree angle, you would use cos 30º to determine the component of the force in the direction of the displacement.
To visualize this, consider the take-home experiment, where one sits on a rotating chair and uses their leg to push off the ground. The motion caused by the leg's force is a practical example of how forces result in rotation. This experiment helps illustrate the principles of torque and rotational work, which share similarities to linear work but differ in that they involve rotational motion around an axis.