A 10 m wide, rectangular concrete-lined canal (n = 0.015) has a bottom slope of 0.01 and a constant level lake at the upstream end. The water level in the lake is 6m above the bottom of the canal at the entrance. If the entrance losses are negligible, determine: a) The flow depth 600 m downstream of the channel entrance, b) The distance from the lake where the flow depth is 3.0 m. Use the step by step method.