Catch the Thief!

Two ships \(A\) and \(B\) are originally at a distance \(d\) from each other depart at the same time from a straight coastline. Ship \(A\) moves along a straight line perpendicular to the shore while ship \(B\) constantly heads for ship \(A\), having at the each moment same as the latter. After a sufficiently great interval of time the second ship will be following the first one at a certain distance \(x\). Find \(x\) in the image above.

Details and Assumptions

• \(d= 26\) m

• In final position they are in same straight line perpendicular to coastline ( track of \(A\) )

• Their speeds are the same.