The work done is defined as the product of force applied and the distance moved in the direction of the force.
Make a sketch and you will realise that the displacement is not in the same direction as the force applied.
You'll have to resolve the force in a component parallel to the displacement.
The angle the displacement does with the x axis is 60.26 degrees nd that of the force is 75.96 degrees as you got.
The difference is 15.71 degrees (taking into consideration all the digits in the decimal).
You'll have to resolve the force.
The force that produced the displacement is given by FcosA
Where F is the magnitude of the applied force and A the angle with the displacement.
So, we get the force as
The distance is given by the magnitude of the vetor <4, 7>
You have the force and distance, you can find the work now.