Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force P of magnitude 100 N is applied at…

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