Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.2 - The Law of Cosines - 7.2 Problem Set - Page 378: 25

Answer

$A=55.471^\circ$ $B =45.468^\circ$ $C=79.061^\circ$

Work Step by Step

$\cos{A} = \dfrac{b^2+c^2-a^2}{2bc} = \dfrac{(3.79)^2+(5.22)^2-(4.38)^2}{2 \times 3.79 \times 5.22} = 0.567$ $$\therefore A = \boxed{55.471^\circ}$$ $\cos{B} = \dfrac{a^2+c^2-b^2}{2ac} = \dfrac{(4.38)^2+(5.22)^2-(3.79)^2}{2 \times 4.38 \times 5.22} = 0.701$ $$\therefore B =\boxed{45.468^\circ} $$ $$C = 180-(A+B) = 180-(55.471+45.468) = \boxed{79.061^\circ}$$
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