Elementary Geometry for College Students (6th Edition)

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

Chapter 11 - Section 11.4 - Applications with Acute Triangles - Exercises - Page 520: 29b

Answer

The area of the lot is $\approx 13,294.9$ ft$^{2}$

Work Step by Step

1. Use the area formula $A = \frac{1}{2}absin(C)$ $A = (0.5)(180)(150)sin(80)$ $= (0.5)(27000)sin(80)$ $= 13500sin(80)$ by GDC / calculator $= 13294.90...$ ft$^{2}$ $\approx 13,294.9$ ft$^{2}$
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