A water pumping station is to be built on a river at point P in order to deliver water to points A and B. See Fig. 2.49. The design requires that ∠APD = ∠BPC so that the total length of piping that will be needed is a minimum. Find this minimum length of pipe.

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B 6.00 mi 1 CH P - 12.0 mi Fig. 2.49 A 10.0 mi I 1 D