For the stepladder shown in the figure, sides $\backslash ($ A C $\backslash )$ and $\backslash ($ C E $\backslash )$ are each $3\mathrm{.}17$ m long and hinged at $\backslash ($ C $\backslash ).$ Bar $\backslash ($ B D $\backslash )$ is a tie$-$rod $0\mathrm{.}674$ m long, halfway up$.$ A man weighing $777$ N climbs $2\mathrm{.}38$ m along the ladder. Assuming that the floor is frictionless and neglecting the mass of the ladder, find $($a$)$ the tension in the tie$-$rod and the magnitudes of the forces on the ladder from the floor at $($b$)$ A and $($c$)$ E$.($Hint: Isolate parts of the ladder in applying the equilibrium conditions.$)$

$($a$)$ Number

$($b$)$ Number

$($c$)$ Number

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