Problem $06\mathrm{.}155-$ Telescoping arm

The telescoping arm $\backslash ($ A B C $\backslash )$ is used to provide an elevated platform for construction workers. The workers and the platform together have a mass of $214$ kg and have a combined center of gravity located directly above $\backslash ($ C $\backslash ).$ Assume $\backslash (\backslash$theta$=20^\{\backslash$circ$\}\backslash ).$

Problem $06\mathrm{.}155.$c $-$ Force exerted by supporting carriage

Determine the force exerted on the supporting carriage at $\backslash ($ A $\backslash ).$

The force exerted on the supporting carriage at $\backslash ($ A $\backslash )$ is