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 6 - Section 6.2 - More Angle Measures in the Circle - Exercises - Page 296: 36

Answer

52

Work Step by Step

We draw a radius that is perpendicular to the door, and we call its length r. This creates a 30-60-90 triangle, meaning that $ r = 45 \times \frac{1}{\sqrt{3}} = 25.98$ This is half the diameter, so diameter equals about 52.
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