Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.6 - Inverse Trigonometric Functions - 6.6 Exercises - Page 486: 100a

Answer

$\theta=\arctan (\dfrac{s}{750}) $ or, $\theta=\tan^{-1} (\dfrac{s}{750})$

Work Step by Step

We will take the tangent of an angle. That is, $\tan \theta =\dfrac{s}{750}$ Now, take the inverse of the tangent of an angle. $\theta=\arctan (\dfrac{s}{750}) $ or, $\theta=\tan^{-1} (\dfrac{s}{750})$ Plug in the data to obtain: $\theta=\arcsin (\dfrac{5}{40})=0.125 $ and $\theta=\arcsin (\dfrac{5}{20})=0.253 $
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