Trigonometry (11th Edition) Clone

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

Chapter 2 - Review Exercises - Page 96: 53


18.75 cm

Work Step by Step

A diagonal of a rectangle divides the rectangle into two (congruent) right triangles. The diagonal is the hypotenuse (label with $c$), and the side b=15.24 is adjacent to the angle $(A=35.65^{o})$ with the hypotenuse. (SOHCAHTOA) $\displaystyle \cos A=\frac{adj.side}{hypotenuse}$ $\displaystyle \cos A=\frac{b}{c}$. solve for c $c=\displaystyle \frac{b}{\cos A}$ $ c=\displaystyle \frac{15.24}{\cos 35.65^{o}}\approx$18.7547889924$ \approx 18.75$ cm
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