Answer
The height of the plane is $= 600$ m.
Work Step by Step
Let $x =$ height of the plane
$a^{2} + b^{2} = c^{2}$
$x^{2} + 800^{2} = 1000^{2}$
$x^{2} + 640,000 = 1,000,000$
$x^{2} = 360,000$
$x = \sqrt (360,000)$
$x = 600$ m
Basic College Mathematics (10th Edition)
by Lial, Margaret L.; Salzman, Stanley A.; Hestwood, Diana L.
Published by
Pearson
ISBN 10:
0134467795
ISBN 13:
978-0-13446-779-5
Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises - Page 593: 41
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