Explanation Given: The given data of the triangle is a = 5.3 , b = 2.9 , c = 4.6 Concept Used: Use the law of cosines. In a triangle A B C with sides of length a , b , and c , A B → c B C → a A C → b Then, a 2 = b 2 + c 2 − 2 b c cos A , b 2 = c 2 + a 2 − 2 c a cos B , c 2 = a 2 + b 2 − 2 a b cos c , Calculation: The given data of the triangle is a = 5.3 , b = 2.9 , c = 4.6 For angle A . a 2 = b 2 + c 2 − 2 b c cos A ⇒ 2 b c cos A = b 2 + c 2 − a 2 ⇒ cos A = b 2 + c 2 − a 2 2 b c ⇒ A = cos − 1 ( b 2 + c 2 − a 2 2 b c ) ⇒ A = cos − 1 ( 2.9 2 + 4.6 2 − 5.3 2 2 ⋅ 2

Precalculus: A Unit Circle Approach (3rd Edition)

3rd Edition

ISBN: 9780134433042

Author: J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek

Publisher: PEARSON

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Chapter 6.3, Problem 38E

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Find the value of the triangle ABC to the nearest tenth.

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Chapter 6.3, Problem 37E

Chapter 6.3, Problem 39E

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Chapter 6 Solutions

Precalculus: A Unit Circle Approach (3rd Edition)

Ch. 6.1 - If is an acute angle in a right triangle, then...Ch. 6.1 - The sum of the two acute angles in a right...Ch. 6.1 - If is an acute angle (measured in degrees) in a...Ch. 6.1 - When looking down, the acute angle between the...Ch. 6.1 - True or False. If 0 is an acute angle in a right...Ch. 6.1 - True or False. The leg adjacent to angle in a...Ch. 6.1 - True or False. The length of the hypotenuse of a...Ch. 6.1 - True or False. We can solve a right triangle if...Ch. 6.1 - In Exercises 9—14, find the exact values for the...Ch. 6.1 - In Exercises 9-14, find the exact values for the...

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Find the value of the triangle A B C to the nearest tenth.

Solution Summary: The author uses the law of cosines to find the value of the triangle ABC to the nearest tenth.

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Find the value of the triangle ABC to the nearest tenth.

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Chapter 6 Solutions