Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Review Exercises - Page 645: 44

Answer

$56^{\circ}$

Work Step by Step

The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$ Since, the height of the pole= $6$ Then $\tan \theta= \dfrac{6}{4}$ So, $\theta=\tan^{-1} (\dfrac{6}{4}) =56^{\circ}$ Our required answer is (using a calculator): $ a = 56^{\circ}$
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