Design problem

[Left]

Hi, could anyone help me with this problem from my engineering design class?

On the left there is the revolving part next to the wall at its normal state. I'm asked to find the distance x (dashed line shown on the right) so that a maximum rotation of 30 degrees is allowed (a pin is supposed to go at the axis of revolution). So I made the sketch on the right and I'm trying to find that circle's radius but I have no idea how to proceed. Only other dimensions are the 40 and 80 shown on the right.

Thanks in advance for any answers.

 

[stapel]

Hi, could anyone help me with this problem from my engineering design class?

Are you maybe actually needing to find the distance between the rotating part and the wall, so that the corner hits the wall and stops the rotation at thirty degrees?

 

[Left]

Are you maybe actually needing to find the distance between the rotating part and the wall, so that the corner hits the wall and stops the rotation at thirty degrees?

Is that distance easier to find? I suppose I could find that other distance afterwards.

 

[Left]

It looks pretty clear that the radius is 40 sqrt(2). It's the diagonal of a square that's 40 units on a side.

I think my drawing confused you, that radius is not the diagonal of a square I just know that the one side is 40 the other side doesn't have to be the same. I was trying to find the radius so that I find x with trigonometry, not sure if it's the right way.