Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.1 The Distance and Midpoint Formulas - F.1 Assess Your Understanding - Page 8: 58

Answer

$d=60\sqrt{2}\approx84.85281374\text{ ft}$

Work Step by Step

The diagonal of the square is the hypotenuse of a right-angled triangle, thus the distance can be calculated using the Pythagorean Theorem. $d^2=a^2+b^2\\ d^2=60^2+60^2\\ d^2=2(60^2)\\ d=\sqrt{2(60^2)}$ $d=60\sqrt{2}\approx84.85281374$ feet
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