Algebra 1: Common Core (15th Edition)

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

Entry-Level Assessment - Multiple Choice - Page xl: 21

Answer

A; $32$ ft

Work Step by Step

We can assume the proportion between the height of the man and the length of the man's shadow is the same as it is for the length of the tree and the length of the tree's shadow. Therefore, if we find the proportion of the height of the man and the length of his shadow, we can find the height of the tree. $6\times x=9$ $x=9\div6$ $x=1.5$ $y\times1.5=48$ $y=48\div1.5$ $y=32$ The height of the tree is 32 feet.
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