Work done by a force is equal to the force multiplied by the displacement in the direction of the force.
In this case, we know that the force is 25 N and the displacement is 15 m. However, the angle between the force and the displacement is given as 30°. To find the work done, we need to find the component of the displacement that is in the direction of the force.
We can use the following formula to find the component of the displacement in the direction of the force:
displacement(cos(theta)) = displacement * cos(angle)
where theta is the angle between the force and displacement and displacement is the magnitude of the displacement vector.
So, the component of the displacement in the direction of the force is:
displacement(cos(theta)) = 15m * cos(30°) = 12.5 m
Now we can calculate the work done by the force:
work = force * displacement(cos(theta)) = 25 N * 12.5 m = 312.5 J (Joules)
So the work done by the force is 312.5 J.