Question

A boat is heading due east at a constant speed of 35 mi/h. There is an 8 mi/h current moving north. What is the boat’s actual speed and direction?

Answer 1

Let x=east, y=north,
x-component of velocity = 35
y-component of velocity = 8
Magnitude=sqrt(8^2+35^2)=sqrt(1289)=35.9 mph. approx.
direction:
θ=tan^-1(35/8)
direction=NθE

Answer 2

thanks so much

Answer 3

You're welcome!