Homework Help: geomety

Posted by Mike on Monday, May 7, 2012 at 11:29pm.

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 - MathMate, Tuesday, May 8, 2012 at 10:43am
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 - Mike, Tuesday, May 8, 2012 at 10:55am
thanks so much
geomety - MathMate, Tuesday, May 8, 2012 at 1:06pm
You're welcome!

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