15.A natural gas 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. One development, D1, is 3 km due south of the existing line; the other development, D2, is 4 km due south of the existing line and 5 km east of the first development. Find the place on the existing line to make the connection to minimize the total length of new line. (A, 5 marks) Gas Line