A smooth transition section connects two rectangular channels as shown in Fig. P10.24. The channel width increases from 6.0 to \(7.0 \mathrm{ft}\), and the water surface elevation is the same in each channel. If the upstream depth of flow is \(3.0 \mathrm{ft}\), determine \(h\), the amount the channel bed needs to be raised across the transition section to maintain the same surface elevation.

Figure P10.24

6 ft 3 ft Top view Side view 7 ft