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: 7

Answer

$104\;mi$.

Work Step by Step

The distance on the map measures $a=3\frac{1}{4}\;in$. Let the actual distance is $=d$. Equate the scare drawing ratio with $a:d$. $\Rightarrow \frac{1}{32}=\frac{3\frac{1}{4}}{d}$ Cross multiply. $\Rightarrow 1d=32(3\frac{1}{4})$ Simplify. $\Rightarrow d=32(\frac{13}{4})$ $\Rightarrow d=104\;mi$.
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