Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 7 - Section 7.3 - Direct Variation - Exercises - Page 283: 3

Answer

$60\;mi$

Work Step by Step

The distance on the map measures $a=1\frac{7}{8}\;in$. Let the actual distance is $=d$. Equate the scare drawing ratio with $a:d$. $\Rightarrow \frac{1}{32}=\frac{1\frac{7}{8}}{d}$ Cross multiply. $\Rightarrow 1d=32(1\frac{7}{8})$ Simplify. $\Rightarrow d=32(\frac{15}{8})$ $\Rightarrow d=60\;mi$.
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