Question 1180616
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A pilot heads his jet due east. The jet has a speed of 680 km/h relative to the air. 
The wind is blowing due north with a speed of 64 km/h
Find the true speed and direction of the jet
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        Calculations in the post by @mananth are erroneous.

        I came to bring a correct solution.



<pre>
In this problem, 680 km/h is the rate of the jet relative to the air.

It is directed to East.  64 km/h is the rate of the wind, it is directed North.


The combined groundspeed of the plane (the speed relative to the ground) is


    {{{sqrt(680^2 + 64^2)}}} = {{{sqrt(466496)}}} = 683.005 km/h
</pre>

Solved correctly.