Let A and B be positions of two ships M and N, respectively, at the moment when N saw M moving with constant speed v following the line Ax. In search of help, N moves with speed kv (k<1) along the line By in order to meet M as soon as possible. Denote by C the point of meeting of the two ships, and set
AB=d,∠BAC=α,0≤α<2π.
Determine the angle ∠ABC=β and time t that N needs in order to meet M. searchgeometry unsolvedgeometry