Asked by Mike

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?

Answers

Answered by MathMate
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<sup>-1</sup>(35/8)
direction=NθE
Answered by Mike
thanks so much
Answered by MathMate
You're welcome!
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