Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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### Educational Transcription

#### Problem Statement

**Objective:**
Use the information given in the diagram to find angle \( A \) to the nearest degree. Suppose that \( a = 12 \) and \( b = 10 \). Do not include units in your answer. You must show work on a separate sheet of paper to receive credit.

#### Diagram Description

**Diagram Analysis:**
- The diagram is a right triangle with one angle marked as \( 30^\circ \).
- The triangle's sides are labeled with \( a \) and \( b \), where:
  - \( a \) is the hypotenuse.
  - \( b \) is the length of the side opposite the right angle.
  - Point \( A \) is the angle opposite \( b \).

#### Given:
- \( a = 12 \)
- \( b = 10 \)

---

### Detailed Diagram Explanation

The triangle is labeled as follows:
- The hypotenuse (\( a \)) is the side opposite the right angle, and its length is given as 12.
- The vertical side (\( b \)), which is opposite to angle \( 30^\circ \) at the base, has a length of 10.
- Angle \( A \) is positioned at the base, adjacent to side \( b \).

--- 

To determine angle \( A \), one can use trigonometric relationships in the right triangle. The calculation will involve the given sides and possibly angles to solve for \( A \). Remember that steps must be shown clearly on a separate sheet to demonstrate how the solution is derived.
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Transcribed Image Text:### Educational Transcription #### Problem Statement **Objective:** Use the information given in the diagram to find angle \( A \) to the nearest degree. Suppose that \( a = 12 \) and \( b = 10 \). Do not include units in your answer. You must show work on a separate sheet of paper to receive credit. #### Diagram Description **Diagram Analysis:** - The diagram is a right triangle with one angle marked as \( 30^\circ \). - The triangle's sides are labeled with \( a \) and \( b \), where: - \( a \) is the hypotenuse. - \( b \) is the length of the side opposite the right angle. - Point \( A \) is the angle opposite \( b \). #### Given: - \( a = 12 \) - \( b = 10 \) --- ### Detailed Diagram Explanation The triangle is labeled as follows: - The hypotenuse (\( a \)) is the side opposite the right angle, and its length is given as 12. - The vertical side (\( b \)), which is opposite to angle \( 30^\circ \) at the base, has a length of 10. - Angle \( A \) is positioned at the base, adjacent to side \( b \). --- To determine angle \( A \), one can use trigonometric relationships in the right triangle. The calculation will involve the given sides and possibly angles to solve for \( A \). Remember that steps must be shown clearly on a separate sheet to demonstrate how the solution is derived.
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