Angle of electron in an electric field

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Homework Statement



https://imgur.com/zEoCpc0
upload_2017-1-4_21-22-49.png


I am trying to figure put the angle and my attempt is tanx=sy/sx (I have calculated a value for the distances)

But my book is saying: tanx =vy/vx

I don't understand why my way of solving it is wrong... I don't get the same answer for x :/
 

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Suppose you drive your car around a corner from point A to point B. The direction you are traveling when you get to B is given by the direction of your velocity VB at B. The angle θ, such that tanθ = sy/sx, is the angle of the red line that connects points A and B. But this is not the direction that you are traveling at B.
upload_2017-1-4_17-51-27.png
 
You are calculating two different angles. Here tanθs≠tanθv. See this picture for clear explanation:
wj6ih.png

Original post link.
 

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