MathNet 2023-part-07 — 187 problems (EN–VI) Question 121

Let $PABC$ be a tetrahedron such that $\angle APB = \angle APC = \angle BPC = 90^{\circ}$, $\angle ABC = 30^{\circ}$, and $AP^{2}$ equals the area of triangle $ABC$. Compute $\tan \angle ACB$.