What geometric problem is depicted in the image, and what are the given values?

Problem Description:

The image depicts a geometry problem involving a triangle, likely related to trigonometry or the Pythagorean theorem. The diagram shows a triangle labeled with points P, B, and a vertex which appears to be A. There is a right angle indicated at vertex C, and an angle of 90° is marked near C. An angle of 30° is also marked within the triangle, likely at vertex P.

Given Values:

• ∠C = 90°
• ∠AC = 6cm (This is likely a typo or misinterpretation in OCR, it might refer to AC as a side length)
• BC = 8cm
• AB, AC, PB are mentioned in the context of calculations, implying they are sides of the triangle or related lengths.
• There's a calculation involving $$c^2 = a^2 + b^2$$, suggesting the Pythagorean theorem.
• Another calculation shows $$90^2 5^2 + 3^2 + 5^2$$.
• There's also a side length 'c-16' and a calculation $$9^2 + 25^2$$.