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, a = 38500 mi , b = 67500 mi and c = 47200 mi Formula used: Law of cosines: a 2 = b 2 + c 2 − 2 b c cos A 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, a = 38500 mi , b = 67500 mi and c = 47200 mi Use law of cosines a 2 = b 2 + c 2 − 2 b c cos A to find angle A . Now substitute the value a = 38500 mi , b = 67500 mi and c = 47200 mi in a 2 = b 2 + c 2 − 2 b c cos A Therefore, ( 38500 ) 2 = ( 67500 ) 2 + ( 47200 ) 2 − 2 ( 67500 ) ( 47200 ) cos A 1482250000 = 4556250000 + 2227840000 − 6372000000 cos A 1482250000 − 6784090000 = − 6372000000 cos A − 5301840000 = − 6372000000 cos A Further simplify, cos A = − 5301840000 − 6372000000 cos A = 0

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ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14.5, Problem 5E

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 a=38500mi,b=67500mi and c=47200mi.

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Chapter 14.5, Problem 4E

Chapter 14.5, Problem 6E

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Chapter 14 Solutions

Elementary Technical Mathematics

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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 a = 38500 mi , b = 67500 mi and c = 47200 mi .

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 a=38500mi,b=67500mi and c=47200mi.

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 a = 38500 mi , b = 67500 mi and c = 47200 mi .

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 a=38500mi,b=67500mi and c=47200mi.

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 a=38500mi,b=67500mi and c=47200mi.