Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.2 Define General Angles and Use Radian Measure - 13.2 Exercises - Quiz for Lessons 13.1 and 13.2 - Page 865: 12

Answer

See below

Work Step by Step

The hypotenuse represents the length which is 152ft, and the opposite side to the 30 degree angle represents the height. We have $\sin \theta=\frac{h}{l}\\\sin 30=\frac{h}{152}\\\sin 30 \times 152=h\\h=\frac{1}{2}\times152\\h=76$
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