A woman who can row a boat at 6.4 km/hin still water faces a long, straight river with a width of 6.4 km and a current of 3.2 km/h. Letpoint directly across the river andpoint directly downstream. If she rows in a straight line to a point directly opposite her starting position, (a) at what angle tomust she point the boat and (b) how long will she take? (c) How long will she take if, instead, she rowsdownthe river and then back to her starting point? (d) How long if she rows 3.2 kmupthe river and then back to her starting point? (e) At what angle toshould she point the boat if she wants to cross the river in the shortest possible time? (f) How long is that shortest time?