A Water Line Runs East-West

Multiple Choice

A water line runs east-west. A town wants to connect two new housing developments to the line by running lines from a single point on the existing line to the two developments. The first development is 5 miles south of the existing line; the other development is 6 miles south of the existing line and 3 miles east of the first development. How many miles east from the point due north of the first development should the connection be made to minimize the total length of new line?

A) 0 miles
B) 3 miles
C) miles
D) 1.5 miles
E) miles