A row boat that has a speed of 4 m/s in still water, is being steered directly across the river (North).?

Question

Determine the resultant velocity of the boat if the current in the river flows at 2 m/s east.

Find the magnitude (m/s) and the direction (degrees).

Answer 1

speed = square root of (4^2+2^2)   or square root of 20 around 4.47

Direction:  assuming north is 0 degrees and going clockwise

solve either of these equations

sin(x) = 2/sqrt(20)

cos(x) = 4/sqrt(20)

tan(x) = 2/4

you should know the SOH COA TOA line to understand why these work

all of these equations give you .4636 radians which is 26.5 degrees to the right of north

your welcome for doing your homework...