Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 18: 57

Answer

30 meters

Work Step by Step

1. It is similar triangles problem. We need to put shadow over shadow and set it equal to actual height over actual heght of the tree. $\frac{3}{45}=\frac{2}{t}$ 2. Then solve for t: $3t= 90$ $t=30$ 3. Don't forget the units 30 meters
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