Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-8 Proportions and Similar Figures - Got It? - Page 132: 2

Answer

30 feet

Work Step by Step

The triangles of the man and his shadow and the flagpole and its shadow are similar. This means that all of the sides are proportional. We will call x the side that we want to find (the height of the flagpole). Thus, we set up the equation: $x/6=17.5/3.5$. We multiply both sides of the equation by 6 to obtain that the height of the flagpole is 30 feet.
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