Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 11 - Review Exercises - Page 525: 20

Answer

$sin(s)=\sqrt3 /2$

Work Step by Step

We know that for a 30 60 90 triangle, the ratio of the lengths of the sides is 1:2: √3. We know that the √3 side is opposite the 60 degree angle, so: $sin(T)=\frac{o}{h}$ $sin(s)=\sqrt3 /2$ To draw this, use a protractor to create a right triangle with angles of 30, 60, and 90 degrees.
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