Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage

Chapter 11 - Review Exercises - Page 532: 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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