What are the coordinates of the point on the directed line segment from (-6, -3)(−6,−3) to (5, 8)(5,8) that partitions the segment into a ratio of 6 to 5?

Two poles, ab and ed, are fixed to the ground with the of ropes ac and ec, as shown: what is the approximate distance, in feet, between the two poles? 6.93 feet 8.66 feet 12.32 feet 15.59 feet