Explanation Given Information: The provided triangle is shown below: B = 19.5 ° , a = 4820 ft and c = 1930 ft Formula used: Law of cosines: b 2 = a 2 + c 2 − 2 a c cos B Law of sine: a sin A = b sin B = c sin C Multiplication property of equality: A = B and A ⋅ C = B ⋅ C Are equivalent where C ≠ 0 . Calculation: Consider the triangle, Use law of cosines b 2 = a 2 + c 2 − 2 a c cos B to find side b . b 2 = ( 4820 ) 2 + ( 1930 ) 2 − 2 ( 4820 ) ( 1930 ) cos 19.5 ° b = 23232400 + 3724900 − 18605200 ( 0.943 ) b = 26957300 − 17559605.5 = 3070 Hence, side b is 3070 ft. Now, use a sin A = b sin B = c sin C to find angle A and C , 1930 sinC ° = 3070 sin 19

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

12th Edition

ISBN: 9781337890199

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14.5, Problem 7E

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 B=19.5°,a=4820 ft and c=1930 ft.

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Chapter 14 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5E Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9E Ch. 14.1 - Find each value rounded to four significant...

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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 B = 19.5 ° , a = 4820 ft and c = 1930 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 B=19.5°,a=4820 ft and c=1930 ft.

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 B = 19.5 ° , a = 4820 ft and c = 1930 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 B=19.5°,a=4820 ft and c=1930 ft.

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 B=19.5°,a=4820 ft and c=1930 ft.