The current is due East.

The boat is due N 16deg W.

So the boat is going against the current in some way.

The boat's speed is 1 m/sec relative to the speed of the current. In order for the boat to move to its direction, the due-west component of the boat's speed must be 1 m/sec relative to the current.

So if the boat were to travel in a straight line, the relative velocity, V, of the boat along that straight line is

V*cos(90 -16 deg) = 1

V = 1 / cos(74 deg) = 3.62796 m/sec, due N 16deg W.

The straight crossing line, d, is

d*sin(74deg) = 136

d = 136 / sin(74deg) = 141.48072 meters

d is also,

d = 3.62796*t

where t is in seconds

So,

3.62796(t) = 141.48072

t = 141.48072 / 3.62796

t = 39 seconds ------the time the boat will cross the river.