Explanation Given Information: The provided triangle is shown below: Where a , b and c are sides. A , B and C are the values of angle. Here, C = 115 ° , a = 247 ft and b = 316 ft Formula used: Law of cosines: c 2 = a 2 + b 2 − 2 a b cos C Law of sine: a sin A = b sin B = c sin C Where a , b and c are sides. A , B and C are the values of angle. Multiplication property of equality: A = B and A ⋅ C = B ⋅ C Are equivalent where C ≠ 0 . Calculation: Consider the provided triangle diagram with provided value, C = 115 ° , a = 247 ft and b = 316 ft Use Law of cosines, c 2 = a 2 + b 2 − 2 a b cos C to find side c. Now substitute the value C = 115 ° , a = 247 ft and b = 316 ft in c 2 = a 2 + b 2 − 2 a b cos C Therefore, c 2 = ( 247 ) 2 + ( 316 ) 2 − 2 ( 247 ) ( 316 ) cos 115 ° = 61009 + 99856 − 156104 ( − 0.422 ) = 160865 + 65875

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14.5, Problem 3E

To determine

To calculate: The round lengths of sides to three significant digits and angles to the nearest tenth

Of a degree for the provided triangle if C=115°,a=247ft and b=316ft.

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Chapter 14.5, Problem 2E

Chapter 14.5, Problem 4E

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Chapter 14 Solutions

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The round lengths of sides to three significant digits and angles to the nearest tenth Of a degree for the provided triangle if C = 115 ° , a = 247 ft and b = 316 ft .

Solution Summary: The author calculates the round lengths of sides to three significant digits and angles to the nearest tenth Of a degree for the provided triangle.

Videos

To calculate: The round lengths of sides to three significant digits and angles to the nearest tenth

Of a degree for the provided triangle if C=115°,a=247ft and b=316ft.

Want to see the full answer?

Chapter 14 Solutions

The round lengths of sides to three significant digits and angles to the nearest tenth Of a degree for the provided triangle if C = 115 ° , a = 247 ft and b = 316 ft .

Solution Summary: The author calculates the round lengths of sides to three significant digits and angles to the nearest tenth Of a degree for the provided triangle.

Videos

To calculate: The round lengths of sides to three significant digits and angles to the nearest tenth Of a degree for the provided triangle if C=115°,a=247ft and b=316ft.

Want to see the full answer?

Chapter 14 Solutions

To calculate: The round lengths of sides to three significant digits and angles to the nearest tenth

Of a degree for the provided triangle if C=115°,a=247ft and b=316ft.