Problem $3$

Numerical Problem $(15$ points$)$: Using the cartesian component method, determine the angle $$ such that the

resultant force for the system has a magnitude of $120lbs$ and is directed along the positive x$-$axis. The forces $F_1$

and $F_2$ have a magnitude of $60lb$ and $80lb,$ and the angle $$ is $36\mathrm{.}3$ degrees.