3. Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate. B 88.2 ft 11.2 131.6 O B = 37.2°,b 28.3 ft, c 23 ft O B = 36.8°, b 272 ft, c = 339.6 ft O B = 37.2°,b 274.6 ft, c = 339.6 ft B = 37.2°, b = 339.6 ft, c 274.6 ft
3. Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate. B 88.2 ft 11.2 131.6 O B = 37.2°,b 28.3 ft, c 23 ft O B = 36.8°, b 272 ft, c = 339.6 ft O B = 37.2°,b 274.6 ft, c = 339.6 ft B = 37.2°, b = 339.6 ft, c 274.6 ft
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°.
Related questions
Question
![### Solving Triangles: Example Problem
#### Problem 3
**Task:** Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
Below is an illustration of a triangle \( \triangle ABC \):
- **Angle at A:** \( 11.2^\circ \)
- **Angle at C:** \( 131.6^\circ \)
- **Side AC (opposite to angle B):** 88.2 ft
#### Choices:
1. **B = 37.2°, b = 28.3 ft, c = 23 ft**
2. **B = 36.8°, b = 272 ft, c = 339.6 ft**
3. **B = 37.2°, b = 274.6 ft, c = 339.6 ft**
4. **B = 37.2°, b = 339.6 ft, c = 274.6 ft**
### Diagram Explanation
The diagram shows a triangle with labeled angles and one given side:
- Angle A is 11.2°
- Angle C is 131.6°
- Side AC is 88.2 ft
### Calculations
To solve this triangle, we need to determine:
- Angle B (since the sum of angles in a triangle is 180°):
\[
B = 180^\circ - A - C = 180^\circ - 11.2^\circ - 131.6^\circ
\]
- Using the Law of Sines to find:
- Side b (opposite angle B),
- Side c (opposite angle A).
Ensure to round your answers appropriately according to the instructions - to the nearest tenth for lengths and to the nearest minute for angles if required.
#### Summary
Choose the correct set of values for B, b, and c from the given options. Calculations involve basic trigonometry and application of the Law of Sines to find the unknown sides and angle of the triangle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8592bc7f-c6b6-4f68-857a-4219f7ee1e70%2Fe5b72aa6-5a19-421f-904a-a4e10193d03f%2Fy6lwmkt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Triangles: Example Problem
#### Problem 3
**Task:** Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
Below is an illustration of a triangle \( \triangle ABC \):
- **Angle at A:** \( 11.2^\circ \)
- **Angle at C:** \( 131.6^\circ \)
- **Side AC (opposite to angle B):** 88.2 ft
#### Choices:
1. **B = 37.2°, b = 28.3 ft, c = 23 ft**
2. **B = 36.8°, b = 272 ft, c = 339.6 ft**
3. **B = 37.2°, b = 274.6 ft, c = 339.6 ft**
4. **B = 37.2°, b = 339.6 ft, c = 274.6 ft**
### Diagram Explanation
The diagram shows a triangle with labeled angles and one given side:
- Angle A is 11.2°
- Angle C is 131.6°
- Side AC is 88.2 ft
### Calculations
To solve this triangle, we need to determine:
- Angle B (since the sum of angles in a triangle is 180°):
\[
B = 180^\circ - A - C = 180^\circ - 11.2^\circ - 131.6^\circ
\]
- Using the Law of Sines to find:
- Side b (opposite angle B),
- Side c (opposite angle A).
Ensure to round your answers appropriately according to the instructions - to the nearest tenth for lengths and to the nearest minute for angles if required.
#### Summary
Choose the correct set of values for B, b, and c from the given options. Calculations involve basic trigonometry and application of the Law of Sines to find the unknown sides and angle of the triangle.
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