Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 7 - Review - Exercises - Page 579: 69

Answer

(a) $\theta=tan^{-1}(\frac{10}{x})$ (b) $286.4ft$

Work Step by Step

(a) In the triangle of concern, we have $tan\theta=\frac{10}{x}$, thus we have $\theta=tan^{-1}(\frac{10}{x})$ (b) At the limit of $2^{\circ}$, we have $x=\frac{10}{tan2^{\circ}}=286.4ft$ which is the distance the sign becomes first legible.
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