A person is paddling a kayak in a river with a current of 1 ft/s. The kayakers is aimed at the far shore, perpendicular to the current. The kayak's speed in still water would be 4 ft/s. Find the kayak's actual speed and the angle between the kayak's direction and the far shore.
This problem seems easy enough but i feel like i am doing something wrong..
A right triangle would form from (0,0) and (1,4)
So, the hypotenuse would be
Would this be the speed?
Then the direction would just be
so the angle would be 75.96 degrees North of East
Thanks for any input