Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 11 - Section 11.4 - Applications with Acute Triangles - Exercises - Page 528: 30

Answer

The distance from Matt to the balloon is $x \approx 394.4$ ft.

Work Step by Step

1. Find the missing angle of the triangle $= 180 - (65+47)$ $= 180 - 112$ $= 68^{\circ}$ 2. Use the Law of Sines to find $x$ $\frac{x}{sin(47)} = \frac{500}{sin(68)}$ $x = \frac{500sin(47)}{sin(68)}$ by GDC / calculator $x = 394.3951...$ ft $x \approx 394.4$ ft
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