Problem $2(25$ points$)$:

In Fig. $2,$ two cables are used to secure the overhang boom in position and support a cargo

has mass $=150kg.$ If the resultant force is directed along the boom from point A towards

O $,$ determine $($a$)$ the values of x and z for the coordinates of point C and $($b$)$ the magnitude

of the resultant force. Set $FB=1610N$ and $FC=2400N.($assume gravity $=10\frac{m}{s^2}$ for

this problem, and round off the final answer to three significant figures$)$

Fig. $2$