Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 3 - Section 3.2 - Corresponding Parts of Congruent Triangles - Exercises - Page 152: 37

Answer

The car moves $\approx 751$ ft along the roadway.

Work Step by Step

1. Use the Pythagoras Theorem to solve for the roadway ($x$) $a^{2} + b^{2} = x^{2}$ $45^{2} + 750^{2} = x^{2}$ $2025 + 562500 = x^{2}$ $564525 = x^{2}$ $\sqrt (564525) = x$ $x = 751.348...$ ft $x \approx 751$ ft
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