Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.4 - Inverse Trigonometric Functions and Right Triangles - 6.4 Exercises - Page 507: 40

Answer

$38.7^\circ $

Work Step by Step

Considering angle of elevation of sun as $\theta$, we may conclude that- $\tan \theta$ = Height of tree $\div$ length of shadow i.e. $\tan \theta$ = $\frac{96}{120}$ = $\frac{4}{5}$ Therefore- $\theta$ = $\tan^{-1}\frac{4}{5} $ Using calculator in degree mode- $\theta$ = $38.7^\circ $ i.e. angle of elevation of the Sun is $38.7^\circ $
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