### Instruction: In right triangle $XYZ$ with $\angle YXZ = 90^\circ$, we have $XY = 24$ and $YZ = 25$.  Find $\tan Y$.### Response: To find $\tan Y$, I need to know the ratio of the opposite side to the adjacent side, relative to angle $Y$.
I can use the Pythagorean theorem to find the length of the missing side $XZ$, since $XY^2 + XZ^2 = YZ^2$.
Substituting the given values, I get $24^2 + XZ^2 = 25^2$, which simplifies to $XZ^2 = 49$.
Taking the positive square root, I get $XZ = 7$.
Now I can find $\tan Y$ by dividing the opposite side $XZ$ by the adjacent side $XY$.
So, $\tan Y = \frac{XZ}{XY} = \frac{7}{24}$.