Answer
$ d=6 \ in.$
Work Step by Step
Let us consider that $d$ is the distance of the cross-section from the center of the circle.
Apply Pythagorean Theorem.
$d^2+8^2=(10)^2 \\ d^2+64=100 \\ d^2=36$
Therefore, $ d=6 \ in.$
Geometry: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281159
ISBN 13:
978-0-13328-115-6
Chapter 12 - Circles - 12-2 Chords and Arcs - Practice and Problem-Solving Exercises - Page 777: 17
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