If vertices A and B lie on a diameter of the circle means that angle of triangle on the vertice C is 90, si this is right triangle. Now we can use Pitagora’s theorem to find AC.
This answer makes sense because i subtracted the 8 inches from the total 60 then i used the number i got in the result (52)then i divided 52 by 8 wich are the rest of the steps. getting 6.5