The figure shows a $5\mathrm{.}60$kg$,1\mathrm{.}60$m long rod hinged to a veritcal wall and supported by a thin wire. The wire and rod each make angles of $45$degrees with the vertical. when a $10\mathrm{.}0$kg block is suspended from the midpoint of the rod, the Tension T in the supporting wire is $54\mathrm{.}1$N$.$The wire will break when the tension exceeds $75\mathrm{.}0$N$.$What is the maximum distance from the hinge from which the block can be suspended?