Answer:
|v|=2.98m/s
Explanation:
In order to solve this problem we must first draw a diagram that will represent the situation. (See picture attached)
In this case the boat is being dragged by the river while it has a given velocity relative to the water and perpendicular to the flow of the river. We can take these velocities as vectors so we can add them up:
[tex]|v|=\sqrt{(1.09m/s)^{2}+(2.77m/s)^{2}}[/tex]
which yields:
|v|=2.98m/s
so an observer that is stationary on the shore will se the boat having a speed of 2.98m/s.