Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Acute Angles and Right Triangles - Section 2.4 Solving Right Triangles - 2.4 Exercises: 56

Answer

Angle of Elevation of Sun = $\angle A$ $\angle A = 26.60^{\circ}$

Work Step by Step

Known: Length of shadow = L = 55.21 feet Height of flagpole = h = 27.65 feet Unknown: Angle of Elevation of Sun = A = ? Formulas: $\tan A$ = $\frac{Opposite A}{Adjacent A}$ = $\frac{h}{L}$ Calculation: $\tan A$ = $\frac{27.65}{55.21}$ $A = \tan^{-1}(\frac{27.65}{55.21})$ Final Answer: $\angle A = 26.60^{\circ}$
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