Sketch the triangle. LA = 29°, B = 115°, c = 55 115 55 15° B 29° A 55 29° B 29 55 115° В 29° A 115° B A 55 Solve the triangle using the Law of Sines. (Round side lengths to one decimal place.) C =
Sketch the triangle. LA = 29°, B = 115°, c = 55 115 55 15° B 29° A 55 29° B 29 55 115° В 29° A 115° B A 55 Solve the triangle using the Law of Sines. (Round side lengths to one decimal place.) C =
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![### Sketch the Triangle
Consider the following given angles for the triangle:
- \( \angle A = 29^\circ \)
- \( \angle B = 115^\circ \)
- Side \( c = 55 \)
Four possible sketches of the triangle are provided, labeled with angles and corresponding side length:
1. **First Diagram:**
- Angle at \( B \) is \( 115^\circ \)
- Angle at \( A \) is \( 29^\circ \)
- Connecting side of \( 55 \)
2. **Second Diagram:**
- Angle at \( A \) is \( 115^\circ \)
- Angle at \( C \) is \( 29^\circ \)
- Side \( AB \) marked as \( 55 \)
3. **Third Diagram:**
- Angle at \( A \) is \( 115^\circ \)
- Angle at \( C \) is \( 29^\circ \)
- Side \( AB \) marked as \( 55 \)
4. **Fourth Diagram:**
- Angle at \( B \) is \( 115^\circ \)
- Angle at \( A \) is \( 29^\circ \)
- Side \( AC \) marked as \( 55 \)
### Solve the Triangle using the Law of Sines
Instructions: Use the Law of Sines to find the remaining sides and angles of the triangle. Round side lengths to one decimal place.
- Side \( a = \) [Input Box]
- Side \( b = \) [Input Box]
- \( \angle C = \) [Input Box] \( \text{°} \)
Select the correct configuration of the triangle from the diagrams by identifying the proper arrangement of given angles and side length.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ae03bb8-ec3d-406c-93d2-922fad9dd684%2F602cd9fd-53ab-4765-9f6e-40b0d9c2ae19%2F8jnljk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Sketch the Triangle
Consider the following given angles for the triangle:
- \( \angle A = 29^\circ \)
- \( \angle B = 115^\circ \)
- Side \( c = 55 \)
Four possible sketches of the triangle are provided, labeled with angles and corresponding side length:
1. **First Diagram:**
- Angle at \( B \) is \( 115^\circ \)
- Angle at \( A \) is \( 29^\circ \)
- Connecting side of \( 55 \)
2. **Second Diagram:**
- Angle at \( A \) is \( 115^\circ \)
- Angle at \( C \) is \( 29^\circ \)
- Side \( AB \) marked as \( 55 \)
3. **Third Diagram:**
- Angle at \( A \) is \( 115^\circ \)
- Angle at \( C \) is \( 29^\circ \)
- Side \( AB \) marked as \( 55 \)
4. **Fourth Diagram:**
- Angle at \( B \) is \( 115^\circ \)
- Angle at \( A \) is \( 29^\circ \)
- Side \( AC \) marked as \( 55 \)
### Solve the Triangle using the Law of Sines
Instructions: Use the Law of Sines to find the remaining sides and angles of the triangle. Round side lengths to one decimal place.
- Side \( a = \) [Input Box]
- Side \( b = \) [Input Box]
- \( \angle C = \) [Input Box] \( \text{°} \)
Select the correct configuration of the triangle from the diagrams by identifying the proper arrangement of given angles and side length.
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