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Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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## Geometry Practice Worksheet

### Instructions:
**Find the measure of each angle indicated. Round to the nearest tenth.**

1. Triangle \( \triangle ABC \)
   - Side \( AB = 13 \)
   - Side \( AC = 12 \)
   - Angle to find: \( \angle C \)

2. Triangle \( \triangle ABC \)
   - Side \( AB = 13 \)
   - Side \( BC = 4 \)
   - Angle to find: \( \angle C \)

3. Triangle \( \triangle ABC \)
   - Side \( AB = 9 \)
   - Side \( BC = 8 \)
   - Angle to find: \( \angle C \)

4. Triangle \( \triangle ABC \)
   - Side \( AB = 10 \)
   - Side \( AC = 11.9 \)
   - Angle to find: \( \angle B \)

5. Triangle \( \triangle ABC \)
   - Side \( AB = 14 \)
   - Side \( AC = 7.7 \)
   - Angle to find: \( \angle B \)

6. Triangle \( \triangle ABC \)
   - Side \( AB = 5 \)
   - Side \( AC = 4 \)
   - Angle to find: \( \angle C \)

**Find the measure of each side indicated. Round to the nearest tenth.**

9. Triangle \( \triangle ABC \)
   - Angle \( \angle A = 37^\circ \)
   - Side \( AB = 11 \)
   - Side to find: \( BC = x \)

10. Triangle \( \triangle ABC \)
   - Angle \( \angle C = 22^\circ \)
   - Side \( AC = 13 \)
   - Side to find: \( BC = x \)

11. Triangle \( \triangle ABC \)
   - Angle \( \angle B = 50.1^\circ \)
   - Side \( AC = 5 \)
   - Side to find: \( AB = x \)

12. Triangle \( \triangle ABC \)
   - Angle \( \angle B = 60^\circ \)
   - Side \( AB = 11 \)
   - Side to find: \( AC = x \)

### Explanation of Diagrams:
Each problem provides information about a triangle, with the goal of finding an unknown angle or side. The given measures
Transcribed Image Text:## Geometry Practice Worksheet ### Instructions: **Find the measure of each angle indicated. Round to the nearest tenth.** 1. Triangle \( \triangle ABC \) - Side \( AB = 13 \) - Side \( AC = 12 \) - Angle to find: \( \angle C \) 2. Triangle \( \triangle ABC \) - Side \( AB = 13 \) - Side \( BC = 4 \) - Angle to find: \( \angle C \) 3. Triangle \( \triangle ABC \) - Side \( AB = 9 \) - Side \( BC = 8 \) - Angle to find: \( \angle C \) 4. Triangle \( \triangle ABC \) - Side \( AB = 10 \) - Side \( AC = 11.9 \) - Angle to find: \( \angle B \) 5. Triangle \( \triangle ABC \) - Side \( AB = 14 \) - Side \( AC = 7.7 \) - Angle to find: \( \angle B \) 6. Triangle \( \triangle ABC \) - Side \( AB = 5 \) - Side \( AC = 4 \) - Angle to find: \( \angle C \) **Find the measure of each side indicated. Round to the nearest tenth.** 9. Triangle \( \triangle ABC \) - Angle \( \angle A = 37^\circ \) - Side \( AB = 11 \) - Side to find: \( BC = x \) 10. Triangle \( \triangle ABC \) - Angle \( \angle C = 22^\circ \) - Side \( AC = 13 \) - Side to find: \( BC = x \) 11. Triangle \( \triangle ABC \) - Angle \( \angle B = 50.1^\circ \) - Side \( AC = 5 \) - Side to find: \( AB = x \) 12. Triangle \( \triangle ABC \) - Angle \( \angle B = 60^\circ \) - Side \( AB = 11 \) - Side to find: \( AC = x \) ### Explanation of Diagrams: Each problem provides information about a triangle, with the goal of finding an unknown angle or side. The given measures
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Thank you again! Question 12

**Geometry Review Exercise**

**Find the measure of each angle indicated. Round to the nearest tenth.**

**Problems 1 to 6:**
1. **Diagram**: Triangle \( \triangle ABC \) with sides: AB = 13, BC = 12, and the angle \( \angle C \) as the target to measure.
2. **Diagram**: Triangle \( \triangle ABC \) with sides: AB = 4, BC = 13, and the angle \( \angle C \) as the target to measure.
3. **Diagram**: Triangle \( \triangle ABC \) with sides: AB = 8, AC = 9, and the angle \( \angle B \) as the target to measure.
4. **Diagram**: Triangle \( \triangle ABC \) with sides: AC = 10, BC = 11.9, and the angle \( \angle A \) as the target to measure.
5. **Diagram**: Triangle \( \triangle ABC \) with sides: AB = 14, AC = 7.7, and the angle \( \angle B \) as the target to measure.
6. **Diagram**: Right triangle \( \triangle ABC \) with legs: AB = 5, BC = 4, and the angle \( \angle C \) as the target to measure.

**Find the measure of each side indicated. Round to the nearest tenth.**

**Problems 9 to 12:**
9. **Diagram**: Right triangle \( \triangle ABC \) with known sides: AC = 11, angle \( \angle B = 37^\circ \). Find the side \( AB = x \).
10. **Diagram**: Right triangle \( \triangle ABC \) with known sides: BC = 13, angle \( \angle A = 42^\circ \). Find the side \( AB = x \).
11. **Diagram**: Right triangle \( \triangle ABC \) with known side: AC = 5, angle \( \angle B = 50.1^\circ \). Find the side \( AB = x \).
12. **Diagram**: Right triangle \( \triangle ABC \) with known side: AB = 11, angle \( \angle A = 60^\circ \). Find the side \( AC = x \).

**Explanation for Diagrams:**
- Each diagram depicts a triangle with a combination
Transcribed Image Text:**Geometry Review Exercise** **Find the measure of each angle indicated. Round to the nearest tenth.** **Problems 1 to 6:** 1. **Diagram**: Triangle \( \triangle ABC \) with sides: AB = 13, BC = 12, and the angle \( \angle C \) as the target to measure. 2. **Diagram**: Triangle \( \triangle ABC \) with sides: AB = 4, BC = 13, and the angle \( \angle C \) as the target to measure. 3. **Diagram**: Triangle \( \triangle ABC \) with sides: AB = 8, AC = 9, and the angle \( \angle B \) as the target to measure. 4. **Diagram**: Triangle \( \triangle ABC \) with sides: AC = 10, BC = 11.9, and the angle \( \angle A \) as the target to measure. 5. **Diagram**: Triangle \( \triangle ABC \) with sides: AB = 14, AC = 7.7, and the angle \( \angle B \) as the target to measure. 6. **Diagram**: Right triangle \( \triangle ABC \) with legs: AB = 5, BC = 4, and the angle \( \angle C \) as the target to measure. **Find the measure of each side indicated. Round to the nearest tenth.** **Problems 9 to 12:** 9. **Diagram**: Right triangle \( \triangle ABC \) with known sides: AC = 11, angle \( \angle B = 37^\circ \). Find the side \( AB = x \). 10. **Diagram**: Right triangle \( \triangle ABC \) with known sides: BC = 13, angle \( \angle A = 42^\circ \). Find the side \( AB = x \). 11. **Diagram**: Right triangle \( \triangle ABC \) with known side: AC = 5, angle \( \angle B = 50.1^\circ \). Find the side \( AB = x \). 12. **Diagram**: Right triangle \( \triangle ABC \) with known side: AB = 11, angle \( \angle A = 60^\circ \). Find the side \( AC = x \). **Explanation for Diagrams:** - Each diagram depicts a triangle with a combination
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Thanks so much! Uploading now. 9-12

**Angle and Side Length Calculation Exercises**

Welcome to the educational section on calculating measures of angles and sides in triangles. Below are exercises designed to enhance your understanding of the geometric principles and trigonometric functions used in these calculations. Please follow the instructions and round your answers to the nearest tenth.

**Find the Measure of Each Angle Indicated. Round to the Nearest Tenth.**

1. **Problem 1:**
   - Given Triangle \( \triangle ABC \)
   - \( AB = 13 \)
   - \( AC = 12 \)
   - Find \( \angle C \)

   ![Triangle with sides AB=13, AC=12 and angle C](#)

2. **Problem 2:**
   - Given Triangle \( \triangle BCA \)
   - \( BC = 4 \)
   - \( BA = 13 \)
   - Find \( \angle C \)

   ![Triangle with sides BC=4, BA=13 and angle C](#)

3. **Problem 3:**
   - Given Triangle \( \triangle ABC \)
   - \( AB = 8 \)
   - \( BC = 9 \)
   - Find \( \angle C \)

   ![Triangle with sides AB=8, BC=9 and angle C](#)

4. **Problem 4:**
   - Given Triangle \( \triangle ABC \)
   - \( BC = 10 \)
   - \( AC = 11.9 \)
   - Find \( \angle C \)

   ![Triangle with sides BC=10, AC=11.9 and angle C](#)

5. **Problem 5:**
   - Given Triangle \( \triangle ABC \)
   - \( AB = 7.7 \)
   - \( BC = 14 \)
   - Find \( \angle B \)

   ![Triangle with sides AB=7.7, BC=14 and angle B](#)

6. **Problem 6:**
   - Given Triangle \( \triangle ACB \)
   - Right triangle with \( AC = 5 \), \( BC = 4 \)
   - Find \( \angle A \)

   ![Right Triangle with sides AC=5, BC=4 and angle A](#)

**Find the Measure of Each Side Indicated. Round to the Nearest Tenth.**

9. **Problem 9:**
Transcribed Image Text:**Angle and Side Length Calculation Exercises** Welcome to the educational section on calculating measures of angles and sides in triangles. Below are exercises designed to enhance your understanding of the geometric principles and trigonometric functions used in these calculations. Please follow the instructions and round your answers to the nearest tenth. **Find the Measure of Each Angle Indicated. Round to the Nearest Tenth.** 1. **Problem 1:** - Given Triangle \( \triangle ABC \) - \( AB = 13 \) - \( AC = 12 \) - Find \( \angle C \) ![Triangle with sides AB=13, AC=12 and angle C](#) 2. **Problem 2:** - Given Triangle \( \triangle BCA \) - \( BC = 4 \) - \( BA = 13 \) - Find \( \angle C \) ![Triangle with sides BC=4, BA=13 and angle C](#) 3. **Problem 3:** - Given Triangle \( \triangle ABC \) - \( AB = 8 \) - \( BC = 9 \) - Find \( \angle C \) ![Triangle with sides AB=8, BC=9 and angle C](#) 4. **Problem 4:** - Given Triangle \( \triangle ABC \) - \( BC = 10 \) - \( AC = 11.9 \) - Find \( \angle C \) ![Triangle with sides BC=10, AC=11.9 and angle C](#) 5. **Problem 5:** - Given Triangle \( \triangle ABC \) - \( AB = 7.7 \) - \( BC = 14 \) - Find \( \angle B \) ![Triangle with sides AB=7.7, BC=14 and angle B](#) 6. **Problem 6:** - Given Triangle \( \triangle ACB \) - Right triangle with \( AC = 5 \), \( BC = 4 \) - Find \( \angle A \) ![Right Triangle with sides AC=5, BC=4 and angle A](#) **Find the Measure of Each Side Indicated. Round to the Nearest Tenth.** 9. **Problem 9:**
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Thanks so much! Reuploading now.

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Transcribed Image Text:Find the measure of each angle indicated. Round to the nearest tenth. 2) 1) с 12 3 TON 2 TI 10 11.9 gniau tuorliw ysb lutitused arttons net no 200 nie 6) 14 B HAT A V YUADRIAT TUBS A CYDO (: 0AATTAM ni squoy casinu* Find the measure of each side indicated. Round to the nearest tenth. 9) 10) B 13 3) 5) B 11) 7.7 A 11 13 HAMMUZ 9 550.1 h C X B 12) 4) B weived I tinu 13 (9) sdi to smem e B 11 A
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