How Do I Split This Vector into Components?

[nesan]

Homework Statement

The Attempt at a Solution

I'm doing a question on inclined planes and centripetal acceleration. I understand the question and what it's asking for, I'm just having trouble splitting F into it's x and y components and how 60 degrees related to it. Any help would be appreciated.
I've drawn multiple diagrams I just can't figure out how to use the 60 degrees to find the x and y components, which would help me finished this question.
Thanks.

 

[ehild]

The force makes 90 degree angle with the slope. F is the sum of a horizontal and vertical component, drawn according to vector addition. The purple angle is 60° (why?) So what is the blue angle?

 

[nesan]

The force makes 90 degree angle with the slope. F is the sum of a horizontal and vertical component, drawn according to vector addition. The purple angle is 60° (why?) So what is the blue angle?

View attachment 75290

Ohh the Z pattern.
Blue would be 30.

OMG thank you. Not very good at geometry. :P