need help with this aux angle q (1 Viewer)

[medaspirant]

any help is appreciated:

i attached how i did it but the answer when i convert to radians is incorrect according to solutions

 

[Epicman69]

yo bro how did u get the 306 degrees? shouldn't it be like 216 degrees?

 

[yanujw]

sinx and cosx is negative. Therefore beta is in the 3rd quadrant and approx. 216.8699 (3.785 radians)

 

[medaspirant]

damn it idk how i understood it was third quad and proceeding by doing 270 + the angle, whereas its 180 thanks a lot @yanujw @Epicman69