Solve for x. X= (Round to the nearest hundredth.) 45 C B
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![### Solve for \( x \)
Given the right-angled triangle ABC, the problem requires solving for the length of side \( x \).
#### Diagram:
A diagram is provided displaying a right-angled triangle:
- Point \( A \) is at the right angle.
- \(\angle CAB = 38^\circ\).
- The length of \( AB \) (adjacent to the 38-degree angle) is given as 45 units.
- Side \( BC \) is the hypotenuse.
- Side \( AC \) is \( x \).
Using trigonometric ratios, particularly the tangent function, you can determine the length of \( x \):
\[ \tan(38^\circ) = \frac{\text{opposite}}{\text{adjacent}} = \frac{x}{45} \]
So, we can solve for \( x \):
\[ x = 45 \times \tan(38^\circ) \]
Finally, round your answer to the nearest hundredth.
### Input Section:
Below the problem statement, there is an input field to enter your answer:
\[ x = \underline{\ \ \ \ \ \ \ \ } \ \text{(Round to the nearest hundredth.)} \]
Use the input box to type in your calculated value, then click "Check Answer".
*Note: A progress bar is shown indicating that all parts of the problem are being displayed.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51bfdcac-f4dd-43b6-8a03-e2b055cc4e09%2F2bbb2a73-435c-4ab0-87a1-9df99033e4af%2Fgys8qrj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solve for \( x \)
Given the right-angled triangle ABC, the problem requires solving for the length of side \( x \).
#### Diagram:
A diagram is provided displaying a right-angled triangle:
- Point \( A \) is at the right angle.
- \(\angle CAB = 38^\circ\).
- The length of \( AB \) (adjacent to the 38-degree angle) is given as 45 units.
- Side \( BC \) is the hypotenuse.
- Side \( AC \) is \( x \).
Using trigonometric ratios, particularly the tangent function, you can determine the length of \( x \):
\[ \tan(38^\circ) = \frac{\text{opposite}}{\text{adjacent}} = \frac{x}{45} \]
So, we can solve for \( x \):
\[ x = 45 \times \tan(38^\circ) \]
Finally, round your answer to the nearest hundredth.
### Input Section:
Below the problem statement, there is an input field to enter your answer:
\[ x = \underline{\ \ \ \ \ \ \ \ } \ \text{(Round to the nearest hundredth.)} \]
Use the input box to type in your calculated value, then click "Check Answer".
*Note: A progress bar is shown indicating that all parts of the problem are being displayed.*
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