Answer
Foci:
$(0, -6)$ and $(0,6).$
Work Step by Step
Major axis parallel to the $y$-axis, vertical.
$a^{2}=100,$
$a=10$
$b^{2}=64,$
$b=8$
Vertices: $(h, k-a),\quad (h, k+a) $
$(0, -10),\quad (0, 10) $
Foci are $c$ units above and $c$ units below the center,
$c^{2}=a^{2}-b^{2}==100-64=36$
$c=6$
Foci:
$(0, -6)$ and $(0,6).$
