Answer
$10$
Work Step by Step
The points closest to the center of the hyperbola are the vertices. That is the shortest horizontal distance from the plane.
So, we find that $a=10$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.