A square aluminum plate \(5 \mathrm{~mm}\) thick and \(150 \mathrm{~mm}\) on a side is heated while vertically suspended in quiescent air at \(75^{\circ} \mathrm{C}\). Determine the average heat transfer coefficient for the plate when its temperature is \(15^{\circ} \mathrm{C}\) by two methods: using results from the similarity solution to the boundary layer equations, and using results from an empirical correlation.