The toggle$-$wedge is an effective device to close the gap between two planks during construction of a wooden boat. For the combination shown, if a force $\backslash ($ P $\backslash )$ of $395$ lb is required to move the wedge, determine the friction force $\backslash ($ F $\backslash )$ acting on the upper end $\backslash ($ A $\backslash )$ of the toggle. The coefficients of static and kinetic friction for all pairs of mating surfaces are taken to be $0\mathrm{.}47.$

Assume $\backslash (\backslash$boldsymbol$\{\backslash$theta$\}=21^\{\backslash$circ$\},\backslash$boldsymbol$\{\backslash$phi$\}=6^\{\backslash$circ$\}\backslash ).$