How to Find the Resultant Velocity of a Plane with a Wind?

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To find the resultant velocity of a plane flying north at 230 km/h while being pushed east by a wind at 56 km/h, the magnitude is calculated to be 236.7 km/h. The initial attempt to determine the direction using the tangent function resulted in an angle of 13.7 degrees, which was incorrect for the problem's requirements. The correct angle, measured from the north towards the east, is 76.3 degrees. The confusion arose from the interpretation of the angle's reference point. Ultimately, the solution was clarified, leading to the correct resultant velocity and direction.
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Homework Statement



Kyle is flying a plane due north at 230 km/h as a wind carries it due east at 56 km/h. Find the magnitude and direction of the plane's resultant velocity analytically.
236.7 km/h (magnitude)
° (direction)


Homework Equations



Tan=opp/adj


The Attempt at a Solution



This should be straightfoward but i guess not?
I tried:
tan^-1 (56/230)=13.7 degrees

Cant seem to figure out why this isn't working it should be straightfoward
 
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I don't see anything wrong. Why do you think it isn't working?
 
My webassign is marking it wrong... i don't see how it is wrong though??!
 
Nevermind I got it they wanted the angle from the other side (76.3). Thanks!
 

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