Question

I need help figuring out this question from my quiz, I have changed the values in order for me to not cheat:
Circle X is shown. Line segment X Y is a radius. Line segment Y Z is a tangent that intersects the circle at point Y. A line is drawn from point Z to point X and goes through a point on the circle. The length of the line segment from point X to the point on the circle is 7, and the length of the line segment from the point on the circle to point Z is 8.
What must be the length of ZY in order for ZY to be tangent to circle X at point Y?

Answer 1

,,Circle X is shown." - so please post it

Answer 2

Site bug kinda did not display the image...

Answer 3

Attempt to repost