A $"$T$"$ beam is resting on one end. The beam is uniform and has the same depth throughout $($the same dimension perpendicular to the plane of the figure$).$ The dimensions are $w0\mathrm{.}089m,h=1\mathrm{.}3m$ and $L=0\mathrm{.}32m.$ What is the maximum thickness $($ t $)$ such that the beam will remain upright $($not topple over$)?[$Hint: if it tips over, it will rotate about an axis at the "dot" at the bottom of the beam$].$

Your answer should be in m$,$ but enter only the numerical part in the box.