We are told that the force of 60 N is exerted at an angle of 37°. Since this one is on the terminal side therefore this force must be the resultant vector. We know that the resultant vector is equal to the hypotenuse of the triangle. So we can say that:
|F| = 60 N
So we see that the given angle is simply something to trick us since we are simply asked for the hypotenuse. If we are to compute for the vertical and horizontal components, that is the time we need to use the angle.
Answer:
|F| = 60 N