Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.3 - Trigonometric Functions of Angles - 6.3 Exercises - Page 499: 57

Answer

$\approx 29.96$ square unit

Work Step by Step

The triangle has sides of length 7 unit and 9 unit , with included angle $72^{0}$. Therefore- Area, (A) of the triangle, A = $ \frac{1}{2}$ a b $\sin \theta$ = $ \frac{1}{2} \times a\times b \times \sin \theta$ = $ \frac{1}{2} \times 7\times 9 \times \sin 72^{0}$ = $\frac{1}{2}\times63\times0.9510565$ $\approx 29.96$ square unit
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