Finding Tangent

[Guest]

A

P
Q B


Alright so it won't let me post the picture, but the length from A to B, vertically, is not given. The length of B to P is also not given. The length Q to B, horizontally, is 1. The length from A to Q is 3. Angle <ABP forms 90 degrees. Triangle AQP is within a circle, and A forms a point of tangency. I am required to find the length of A to P.

I'm lost.

[Guest]

By the way, Points A B and P form a right triangle. B, being the middle of the angle formed also by ABP, which is 90 degrees. A second right triangle, flipped, is formed adjacent to triangle ABP, which is triangle ABQ