$(30$ points$)$ For the linkage shown below, assume R$\_($OA$)=2$in$,$R$\_($AB$)=4\mathrm{.}5$in$,$R$\_($BC$)=3\mathrm{.}1$in$,$R$\_($OC$)=4$in $,$ R$\_($AP$)=2\mathrm{.}5$ in$,$ and $\backslash$alpha $=27$deg $.$ Draw a kinematic diagram, identify all relevant unknown quantities, and solve for the angles $\backslash$theta $\_(3),\backslash$theta $\_(4),\backslash$theta $\_($AP$),$ and the position of P relative to O $.$ Report answers for $\backslash$theta $\_(2)=37$deg and $\backslash$theta $\_(2)=90$deg Please give the answer