Find the equation for the tangent to the graph of \( y \) at \( \left(5, \frac{\pi}{6}\right) \).
\[
y=\sin ^{-1}\left(\frac{x}{10}\right)
\]
The equation of the line tangent to the graph of \( y \) at \( \left(5, \frac{\pi}{6}\right) \) is \( y= \) \( \square \) 1.
(Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.)