Consider a frame that is made up of two thin massless rods $$AB$$ and $$AC$$ as shown in the figure. A vertical force $$\vec{P}$$ of magnitude 100 N is applied at point $$A$$ of the frame.
Suppose the force $$\vec{P}$$ is resolved parallel to the arms $$AB$$ and $$AC$$ of the frame. The magnitude of the resolved component along the arm $$AC$$ is $$x$$ N. The value of $$x$$, to the nearest integer, is ________.
[Given: $$\sin(35^\circ) = 0.573, \cos(35^\circ) = 0.819, \sin(110^\circ) = 0.939, \cos(110^\circ) = -0.342$$]