Water is to be pumped from a lake to a ranger station on the side of a mountain (see figure). The flow rate is to be 95gal/mm, and the flow channel is a standard 1-in. Schedule 40 steel pipe (ID = 1.049 in.). A pump capable of delivering 8 hp (= ? W_s) is available. The friction loss P (ft ? lb_f/lb_m) equals 0.041 L, where L (ft) is the length of the pipe. Calculate the maximum elevation, z, of the ranger station above the lake if the pipe rises at an angle of 30?.

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30°