Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd97960db-6fb7-4aa7-8bd6-8fc2a5bd5197%2Fd676225e-db6a-4b4f-b288-99fa61036564%2F4l00z2_processed.png&w=3840&q=75)
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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