a fly stationed at a point on the circumference of the base of a cylindrical tower of radius 12 feet. Find that he can just see a distant flagstaff by walking along the tangent line to the base either a distance 8 feet in one direction or a distance 5 feet in the other direction. Find the distance of the foot of the flagstaff from the center of the base of the tower

No answer for your question. The problem is poorly-written. It is unanswerable......

Alternate problems are encouraged.....