Question: Show that the solution to Example may be found as follows: reflect A to the other side of the river to as shown in Figure. Draw a line connecting A' to B. Where this line intersects the horizontal line is the required point P, the location of the pumping station
Example: Towns A and B are located 3 and 6 miles respectively, from a straight river. Let C and D be the points on the river bank closest to A and B, respectively, as shown in Figure. The distance between points C and D is 9 miles. The two towns are to be supplied water from a pumping station situated on the river between them. Where on the river should the pumping station be located in order to minimize the length of piping used in connecting the towns?
