Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Review Exercises - Page 43: 23

Answer

12 ft

Work Step by Step

Let $x$ be the length of shadow of the 30-ft tree. When we draw the figure of trees and their shadows, we get two similar triangles. As the triangles are similar, sides corresponding to angles having equal measures are proportional. $\implies \frac{20}{30}=\frac{8\,ft}{x}$ or $x=\frac{8\,ft\times30}{20}= 12\,ft$
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