I would like some help with this question.
A plane is flying North East at 600 kph. The wind is blowing to the South at 100 kph. Find the plane's ground speed and true heading.
Finding the sum of the plane and wind's vector components would equal the actual ground speed:
<600cos(45) , 600sin(45)> + <0, 100> = <424.264 , 524.264>
$\theta$ = 51.018
Have I done this correctly?