SOLUTION: 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

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 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      Log On

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Question 1180616: 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

Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!

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magnitude of resultant speed = = 5.38

Answer by ikleyn(53618) About Me  (Show Source):
You can put this solution on YOUR website!
.
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.


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%28680%5E2+%2B+64%5E2%29 = sqrt%28466496%29 = 683.005 km/h

Solved correctly.