Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.8 - Applications of Trigonometric Functions - Exercise Set - Page 639: 47

Answer

$15.1^{\circ}$

Work Step by Step

Since, $\sin \theta= \dfrac{height}{hypotenuse}$ We have the angle of elevation for the ramp $\theta= 90^{\circ}$ We can use the sine of the triangle to solve for the angle. $\sin \theta= \dfrac{6}{23}$ or, $\theta=\sin^{-1} \dfrac{6}{23}$ or, $\theta=15.1^{\circ}$
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