Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 70

Answer

6 km

Work Step by Step

Use the Pythagorean Theorem. Let a be the height above the ground. $a^2+8^2=10^2$ Simplify. $a^2+64=100$ Subtract 64 from each side. $a^2+64-64=100-64$ Simplify. $a^2=36$ Take the square root of each side. $\sqrt{a^2}=\sqrt{36}$ Simplify and round. $a=6$
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