$[$d$]$ Angles have been observed at station F between the coordinated controls P$,$ W and D so that the position of the station can be determined by resection. Calculate the coordinates of F given the coordinates? $(6$ marks$)$

$\backslash$table$[[$P$,2876\mathrm{.}24$ mE$,8754\mathrm{.}11$ mN$],[$W$,3810\mathrm{.}80,7997\mathrm{.}25],[$D$,2959\mathrm{.}39.,7487\mathrm{.}09]]$