Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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What are the solutions to these triangles using Inverse Trigonometric Ratios?

The image displays a right triangle labeled as \( \triangle ABC \).

- **Angle C** is the right angle, denoted by a small square.
- **Side AC** measures 6 units.
- **Side BC** measures 9 units.
- **Angle A** is labeled as \( \theta \).
- **Vertex A** is at the left, and vertex B is at the right on the base of the triangle.
- **The hypotenuse is AB**, though not directly measured in this image based on the given sides.
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Transcribed Image Text:The image displays a right triangle labeled as \( \triangle ABC \). - **Angle C** is the right angle, denoted by a small square. - **Side AC** measures 6 units. - **Side BC** measures 9 units. - **Angle A** is labeled as \( \theta \). - **Vertex A** is at the left, and vertex B is at the right on the base of the triangle. - **The hypotenuse is AB**, though not directly measured in this image based on the given sides.
The image depicts two labeled right triangles, each with given side lengths and angle notations.

---

**Triangle 2:**
- **Vertices:** A, B, C
- **Sides:**
  - AC = 13 (hypotenuse)
  - BC = 4
  - AB is the side adjacent to angle θ and opposite the right angle.
- **Angle:** θ is at vertex A.

This triangle is a right triangle with the right angle marked at vertex C.

---

**Triangle 4:**
- **Vertices:** A, B, C
- **Sides:**
  - BC = 11.9
  - AC = 10
  - AB is the hypotenuse.
- **Angle:** θ is at vertex A.

This triangle is also a right triangle with the right angle marked at vertex C.

---

Both diagrams focus on the relationship between sides and angles in right triangles, illustrating applications of trigonometric functions such as sine, cosine, and tangent.
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Transcribed Image Text:The image depicts two labeled right triangles, each with given side lengths and angle notations. --- **Triangle 2:** - **Vertices:** A, B, C - **Sides:** - AC = 13 (hypotenuse) - BC = 4 - AB is the side adjacent to angle θ and opposite the right angle. - **Angle:** θ is at vertex A. This triangle is a right triangle with the right angle marked at vertex C. --- **Triangle 4:** - **Vertices:** A, B, C - **Sides:** - BC = 11.9 - AC = 10 - AB is the hypotenuse. - **Angle:** θ is at vertex A. This triangle is also a right triangle with the right angle marked at vertex C. --- Both diagrams focus on the relationship between sides and angles in right triangles, illustrating applications of trigonometric functions such as sine, cosine, and tangent.
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