Consider a frame that is made up of two thin massless rods AB and...

Consider a frame that is made up of two thin massless rods $AB$ and $AC$ as shown in the figure. A vertical force $\overset{\to}{P}$ of magnitude $100N$ is applied at point $A$ of the frame.

Suppose the force is $\overset{\to}{P}$ resolved parallel to the arms $AB$ and $AC$ of the frame. The magnitude of the resolved component along the arm $AC$ is $xN$. The value of $x$, to the nearest integer, is ________.

[Given : $\sin \left(35 °\right) = 0 . 573, \cos \left(35 °\right) = 0 . 819, \sin \left(110 °\right) = 0 . 939, \cos \left(110 °\right) = - 0 . 342$]