Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.9 Similar Triangles - 8.9 Exercises: 28

Answer

$35.5$ ft

Work Step by Step

Since the triangles are similar, we can set up a proportion between the sides of the small and large triangles: $\displaystyle \frac{y}{45~ft}=\frac{1~ft}{1.5~ft}$ Cross-multiply and solve for $y$: $1.5y=1*45$ $y=45/1.5$ $y=30$ feet To find the height of the tree, we need to add the given height of $5\frac{1}{2}$ ft to $y$: $5\frac{1}{2}+30=5.5+30=35.5$ ft
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