The diagonals of rectangle $PQRS$ intersect at point $X$.  If $PS = 6$ and $RS=8$, then what is $\sin \angle PXS$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The diagonals of rectangle $PQRS$ intersect at point $X$.  If $PS = 6$ and $RS=8$, then what is $\sin \angle PXS$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{24}{25}
The diagonals of rectangle $PQRS$ intersect at point $X$.  If $PS = 6$ and $RS=8$, then what is $\sin \angle PXS$?
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