Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-2 Patterns and Linear Functions - Standardized Test Prep: 21

Answer

8 ft

Work Step by Step

Since the triangles are similar, the ratio of the lengths of the shadows is the same as the ratio of the heights of the objects. Let s be the height of the sign. $\frac{4.5}{12}=\frac{3}{s}\longrightarrow$ cross multiply to solve for s $4.5s=36\longrightarrow$ divide each side by 4.5 $4.5s\div4.5=36\div4.5\longrightarrow$ divide $s=8$
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