### Using the Law of Sines to Determine the Length of Side cTo solve for side \(c\) in a given triangle using the Law of Sines, you need to apply the following formula:\[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \]Given:- \( a = 92 \, \text{cm} \)- \( B = 43^\circ \)- \( C = 36^\circ \)Approximate your answers to the nearest tenths.#### Multiple-Choice Options:1. \( 43.8 \, \text{cm} \)2. \( 55.1 \, \text{cm} \)3. \( 12.3 \, \text{cm} \)4. \( 63.9 \, \text{cm} \)To find the correct length of side \(c\), apply the Law of Sines properly and solve using the given angle and side lengths. ---This information intended to guide students on solving triangles using the Law of Sines, providing approximate answers to the nearest tenths for practical application.

Answered: Image /qna-images/answer/9b546572-21ff-411a-a49e-d6d050a87776.jpg

Use the Law of Sines to solve the following triangle for c. Approximate your answers to the nearest tenths. a = 92 cm, B = 43°, C= 36⁰. 83°F Mostly cloudy 43.8 cm 55.1 cm 12.3 cm 63.9 cm H Q Search 40 D 11:19 PM 6/22/2023

Use the Law of Sines to solve the following triangle for c. Approximate your answers to the nearest tenths. a = 92 cm, B = 43°, C= 36⁰. 83°F Mostly cloudy 43.8 cm 55.1 cm 12.3 cm 63.9 cm H Q Search 40 D 11:19 PM 6/22/2023

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section: Chapter Questions

Problem 6GP

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Question

### Using the Law of Sines to Determine the Length of Side c

To solve for side \(c\) in a given triangle using the Law of Sines, you need to apply the following formula:

\[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \]

Given:
- \( a = 92 \, \text{cm} \)
- \( B = 43^\circ \)
- \( C = 36^\circ \)

Approximate your answers to the nearest tenths.

#### Multiple-Choice Options:
1. \( 43.8 \, \text{cm} \)
2. \( 55.1 \, \text{cm} \)
3. \( 12.3 \, \text{cm} \)
4. \( 63.9 \, \text{cm} \)

To find the correct length of side \(c\), apply the Law of Sines properly and solve using the given angle and side lengths.

---

This information intended to guide students on solving triangles using the Law of Sines, providing approximate answers to the nearest tenths for practical application.

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