finding coordinates of center of small circle

[hardworker2153]

I need to find the x- and y-coordinates of the center of a small circle:

I have a large circle with a 10" radius and a smaller circle with a 6" radius; these are tangent a point "t". B is the center point of the large circle and "C" is the center point of the smaller circle. The y axis of the large circle has a angle of 32 degrees to intersect with the center point of the small circle.

I'm not sure how to get the x- and y-coordinates. I need to round answer to 3 decimal places CAN YOU HELP?

 

[stapel]

I'm sorry, but I don't understand your description. In particular, since the y-axis is part of the plane, not (being an infinite line) part of a circle, what do you mean by "the y-axis of the large circle"?

Keeping in mind that we cannot see the picture you're looking at, please reply with clarification. Thank you.

Eliz.