Question 984520
A pilot is flying at an air speed of 241mph in a wind blowing 20.4mph from the east. In what direction must the pilot head in order to fly due north? What is the pilots speed relative to the ground? 
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Make a right triangle.
The hypotenuse is 241 at some angle East of due North.
The wind is the short leg 20.4 in length.
Use Pythagoras to find the groundspeed.
{{{GS = sqrt(241^2 - 20.4^2) = 240.1}}} mi/hr
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The small angle = asin(20.4/241) =~ 4.856 degs
--> A heading = 4.9 (due North is 360 or 000 degs)