Diagram of a straight part of a river flowing to the right, with A marked on the lower bank, B and C marked on the upper; B is further right than A, and C is slightly further right than B.

The above figure shows the parallel banks of a straight stretch of river.

Starting from the point \(A\) on a bank, a man swims at an angle of \(40°\) with the bank, reaching a point \(B\) on the opposite bank after swimming \(150\) yd. A second swimmer also leaves the bank at \(A\) but reaches the opposite bank at \(C\). If \(BC = 50\) yd., calculate

  1. the width of the river;
  2. the angle between \(AB\) and \(AC\).