At what angle γ should the swimmer align his or her body so that the straight-line trajectory ends exactly at a designated ladder at the opposite shore? Let γ be measured counterclockwise, with γ=0 to the right.
First consider v/w=1.2. This means the speed of the water (relative to shore) is faster than the speed of the swimmer (relative to the water). Find two solutions for γ that allow the swimmer to reach the downstream ladder.
Next consider v/w=0.8; the swimmer is thus able to swim upstream. Find the values of γ that allow the swimmer to reach the upstream and downstream ladder.