Click on the graph to view a larger graph Use the Law of Sines to find the indicated side a given in the graph x= 26.3 A 52° 26.7 с X 70% B

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Click on the graph to view a larger graph**

Use the Law of Sines to find the indicated side \( x \) given in the graph.

![Triangle Diagram](graph)

The triangle diagram shows a triangle labeled \( \triangle ABC \):

- Angle \( \angle BAC = 52^\circ \)
- Angle \( \angle ABC = 70^\circ \)
- Side \( AB = 26.7 \)
- Side \( AC = x \)

**Calculation**

Using the Law of Sines: 

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

Where:
- \( a = x \)
- \( \angle A = 52^\circ \)
- \( b = 26.7 \)
- \( \angle B = 70^\circ \)

Plug in the known values to solve for \( x \):

\[
\frac{x}{\sin 70^\circ} = \frac{26.7}{\sin 52^\circ}
\]

Solve this equation to find \( x \).

\[ x = \] [Text Box for Input]
Transcribed Image Text:**Click on the graph to view a larger graph** Use the Law of Sines to find the indicated side \( x \) given in the graph. ![Triangle Diagram](graph) The triangle diagram shows a triangle labeled \( \triangle ABC \): - Angle \( \angle BAC = 52^\circ \) - Angle \( \angle ABC = 70^\circ \) - Side \( AB = 26.7 \) - Side \( AC = x \) **Calculation** Using the Law of Sines: \[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \] Where: - \( a = x \) - \( \angle A = 52^\circ \) - \( b = 26.7 \) - \( \angle B = 70^\circ \) Plug in the known values to solve for \( x \): \[ \frac{x}{\sin 70^\circ} = \frac{26.7}{\sin 52^\circ} \] Solve this equation to find \( x \). \[ x = \] [Text Box for Input]
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