geomety

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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?

  • geomety -

    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

  • geomety -

    thanks so much

  • geomety -

    You're welcome!

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