Trigonometry (11th Edition) Clone

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

Chapter 6 - Review Exercises - Page 292: 63b

Answer

$x=8.66$ feet

Work Step by Step

Graph $f(x)=\arctan{\left(\frac{15}{x}\right)}-\arctan{\left(\frac{5}{x}\right)}$ using a graphing utility, then identify its maximum point. Refer to the graph below. Thus, the value of $x$ that maximizes the viewing angle is $8.66$. Therefore, the student must sit next to the wall $8.66$ feet from the front of the classroom to maximize his viewing angle.
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