Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 11 - Review Exercises: 14

Answer

$74.8 cm$

Work Step by Step

We know that the angle of the smaller angle is 75 degrees. From this, we know that the height of the rectangle is: $50(sin75)=h$ $h=48.3$ The shorter side is given by: $s=50cos(75)=12.9$ This means that the length of the rectangle created is: $l=70-12.9=57.1$ We use the Pythagorean theorem to find: $ \sqrt{57.1^2+48.3^2}$ $74.8 cm$
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