Trigonometry (11th Edition) Clone

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.4 Solving Right Triangles - 2.4 Exercises - Page 77: 12

Answer

$[w-1542]\leq 0.5$

Work Step by Step

The weight is measured to be $1542$ lb. This number falls under the range $1541.5\leq w\lt 1542.5$, as if we assume $1542$ has been rounded to 4 significant figures, its error interval will be $1541.5\leq w\lt 1542.5$. $1542.5$ is the upper bound in the range, as that is the max value which will round to $1542$, so we will take this as the value for $w$ in the inequality. Therefore, $[w-1542]$ will always be equal to or smaller than $[1542.5-1542]$, which = $0.5$. Hence, $[w-1542]\leq 0.5$
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