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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**Problem: Solving for x**

**Instructions:**
Solve for \( x \). Round to the nearest tenth of a degree, if necessary.

**Diagram Explanation:**
The diagram presents a right-angled triangle \( \triangle UVW \) with:
- \( UV = 76 \)
- \( VW = 39 \)
- The right angle is at \( V \)
- The angle to be found is \( x \) at \( U \).

**Diagram:**
```
        U
        /|
     76/ | x°
     /   |
    /    |
 V ------- W
     39
```

**Input Area:**
There is an input box labeled “Answer: \( x \) =” where you can submit your answer.

**Attempt Info:**
This is attempt 1 out of 2.

**Answer Submission:**
Click the “Submit Answer” button after entering your solution.

**Example Calculation:**
To solve for \( x \), use the tangent function:

\[ \tan(x) = \frac{\text{opposite}}{\text{adjacent}} = \frac{UV}{VW} = \frac{76}{39} \]

\[ x = \tan^{-1}\left(\frac{76}{39}\right) \]

Calculate the value and round it to the nearest tenth. Then input your answer in the provided box.
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Transcribed Image Text:**Problem: Solving for x** **Instructions:** Solve for \( x \). Round to the nearest tenth of a degree, if necessary. **Diagram Explanation:** The diagram presents a right-angled triangle \( \triangle UVW \) with: - \( UV = 76 \) - \( VW = 39 \) - The right angle is at \( V \) - The angle to be found is \( x \) at \( U \). **Diagram:** ``` U /| 76/ | x° / | / | V ------- W 39 ``` **Input Area:** There is an input box labeled “Answer: \( x \) =” where you can submit your answer. **Attempt Info:** This is attempt 1 out of 2. **Answer Submission:** Click the “Submit Answer” button after entering your solution. **Example Calculation:** To solve for \( x \), use the tangent function: \[ \tan(x) = \frac{\text{opposite}}{\text{adjacent}} = \frac{UV}{VW} = \frac{76}{39} \] \[ x = \tan^{-1}\left(\frac{76}{39}\right) \] Calculate the value and round it to the nearest tenth. Then input your answer in the provided box.
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