Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.2 - The Law of Cosines - Exercise Set - Page 732: 51

Answer

$123,454$ dollars.

Work Step by Step

Step 1. Given $a=240,b=300,c=420\ ft$; we have $s=\frac{a+b+c}{2}=480\ ft$ Step 2. Using Heron's Formula, we have the area $A=\sqrt {s(s-a)(s-b)(s-c)}=\sqrt {480(480-240)(480-300)(480-240)}\approx35,272.7$ Step 3. The total price is $3.5A\approx123,454$ dollars.
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