Answer
Please see the work below.
Work Step by Step
We know that
$\frac{1}{2}Kx^2=mgdsin(\theta)$
This simplifies to:
$d=\frac{Kx^2}{2\space m\space g\space sin(\theta)}$
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.