Question
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.
Answers
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
the north component is
... 10 sin(30º) - 4
speed = √[(east)^2 + (north)^2]
tan(Θ) = north / east
Θ is degrees north of east