Final answer:
To find the work done while pulling the wagon, calculate the component of the force in the direction of motion by multiplying the applied force by the cosine of the angle. Then, use the formula for work: work = force * displacement * cos(theta). Plug in the values to calculate the work done.
Step-by-step explanation:
To find the work done while pulling the wagon, we first need to calculate the component of the force that is in the direction of motion. This can be found by multiplying the applied force by the cosine of the angle between the force and the horizontal. So, the component of the force in the horizontal direction is 38 pounds * cos(30°) = 32.9 pounds.
Next, we can use the formula for work: work = force * displacement * cos(theta), where theta is the angle between the force and the displacement. In this case, the force is the horizontal component we just calculated, the displacement is 90 feet, and theta is 0° since the force is in the same direction as the displacement. Therefore, the work done is 32.9 pounds * 90 feet * cos(0°) = 2961 pounds-feet.