Q$3.,A7-m$ boom is held by a ball and socket at A and by two cables EBF and $DC$; cable EBF passes around a frictionless hook at B$.$ A load is acting downward and having a magnitude of $3.xkN,$ where $x$ is the last digit of your student number $($e$.$g$.$ the load is $3\mathrm{.}8$ kN if your number is $12345678$ A $).($a$)$ Draw free$-$body diagram of the boom. $($b$)$ Determine the tensions in the two cables. $[10$ marks$]$