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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Question
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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdba5689-bc14-44c2-a025-6db7a798c6e6%2F11c9ca56-9d1c-400f-be00-1cc4f57eb500%2F2wx4qqr_processed.png&w=3840&q=75)
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.
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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