A fluid flows along a flat, horizontal plate that is heated along its entire length. At a distance, \(x=10 \mathrm{~cm}\); from the leading edge of the plate the thermal boundary layer thickness, \(\delta_{t}=10 \mathrm{~mm}\); and the local value of the heat transfer coefficient, \(h_{x}=75 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\). Determine the numerical values for \(\delta_{t}\) at \(x=25 \mathrm{~cm}\) and for the average heat transfer coefficient \(\bar{h}\), over the entire length of the plate \((25 \mathrm{~cm})\). Assume forced convection, turbulent flow, and \(\operatorname{Pr}>1\).