Forces along non-perpendicular axes

[Imbellis]

Homework Statement

F2 = 8kN; Determine the magnitude of F2 along axis u and axis v.

Relevant Equations

CompF = F*Cos(angle)

Determine Force from F2 along u and v axes.
CompF= F*Cos(angle);
CompF onto U = 8kN*Cos(30) = 6.93kN
Angle between F2 and V: 180-75 = 105; 105-30 = 75 degrees
CompF onto V = 8kN*Cos(75) = 2.07 kN. Since in the -V direction; -2.07kN.

I just would like for somebody to verify these answers. I've already missed credit on the problem (Answers shown below), I'm just clueless how they got those numbers.

 

[haruspex]

Your answers are correct. I cannot even figure out what blunder was made in the given answer.
Quite often, it looks like someone modified the numbers in an existing question but failed to update the answer. This one looks weirder.

 

[Imbellis]

Your answers are correct. I cannot even figure out what blunder was made in the given answer.
Quite often, it looks like someone modified the numbers in an existing question but failed to update the answer. This one looks weirder.

Thanks for the confirmation! I just wanted to make sure I wasn't going crazy (I'm an undergrad and would be quite nervous if I made a mistake on a question like this) .