Answer
$\frac{y^2}{25}-\frac{x^2}{11}=1$
Work Step by Step
1. From the given conditions, start from the standard equation $\frac{y^2}{b^2}-\frac{x^2}{a^2}=1$
2. We have $b=5, c=6$, thus $a^2=c^2-b^2=11$
3. The equation is $\frac{y^2}{25}-\frac{x^2}{11}=1$
