Answer
She is approximately $62$ inches tall.
Work Step by Step
Using the table the z-score belonging to $\frac{1}{400}=0.25\%$: $z\approx-2.8$
$z=\frac{\text{data item-mean}}{\text{standard deviation}}$.
Hence here: $-2.8=\frac{x-69}{2.5}=\\-2.8\cdot2.5=x-69\\-7=x-69\\x=-7+69=62$
