Answer
$14.5 \, ft^2$
Work Step by Step
$A = 180-(B+C) = 90^\circ$
$S = \dfrac{b^2 \sin{A} \sin{C}}{2 \sin{B}} = \dfrac{(2.72)^2 \sin{90} \sin{75.667}}{2 \sin{14.333}}$
$S = 14.5 \, ft^2$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 7 - Section 7.4 - The Area of a Triangle - 7.4 Problem Set - Page 396: 22
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