Where is the center of the Milky Way located?
Distance estimates to the center of our galaxy vary around $r \approx$ 8000 $\pm$ 200 parsecs.
Its spherical equatorial coordinates are $\alpha$ = 17h45m40s, $\delta$ = -29$^\circ$00'28" (J2000).
Converting those to rectangular form, we have:
$$\begin{align}
X &amp;= r \cos \delta \cos \alpha \approx -437 \pm 11 \ \mathrm{pc} \\
Y &amp;= r \cos \delta \sin \alpha \approx -6983 \pm 175 \ \mathrm{pc} \\
Z &amp;= r \sin \delta \approx -3879 \pm 97 \ \mathrm{pc}
\end{align}$$
As with most celestial objects, its direction is known much more precisely than its distance.
We can't pinpoint its 3D position, but we can narrow it down to a long, fuzzy ellipsoid pointing away from the Sun.