5.2. What is the maximum volume of the pyramid $S A B C$, where $A B=5, A C=8$ and $\sin \angle B A C = \frac{3}{5}$, and all lateral edges $S A, S B, S C$ form the same angle with the base plane, not exceeding $60^{\circ} ?$
Answer. $10 \sqrt{51} \approx 71.41$.