Answer
The foci are located at
$(0, -\sqrt{33})$ and $(0, \sqrt{33})$
Work Step by Step
Major axis parallel to the $y$-axis, vertical.
$a^{2}=49,$
$a=7$
$b^{2}=16,$
$b=4$
Vertices: $(h, k-a),\quad (h, k+a) $
$(0, -7),\quad (0, 7) $
Foci are $c$ units above and $c$ units below the center,
$c^{2}=a^{2}-b^{2}=49-16=33$
$c=\sqrt{33}$
The foci are located at
$(0, -\sqrt{33})$ and $(0, \sqrt{33})$
