A ferry boat departed from port and traveled at a rate of ten miles per hour at an angle of 30 degrees north of east across a large river. If the current is flowing at a rate of 4 miles per hour straight south, what is the speed and direction of the boat in the water? Round any irrational answers to one decimal place.

1 answer

the east component is ... 10 cos(30º)

the north component is
... 10 sin(30º) - 4

speed = √[(east)^2 + (north)^2]

tan(Θ) = north / east

Θ is degrees north of east