What is the correct set up to solve for x? 19° Your answer: o cos(19) = 25 !3! 25 cos(19) = o tan(19) = 25 sin(19) = 25 %3D 25
What is the correct set up to solve for x? 19° Your answer: o cos(19) = 25 !3! 25 cos(19) = o tan(19) = 25 sin(19) = 25 %3D 25
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Problem Statement:**
What is the correct set up to solve for \( x \)?
**Diagram Details:**
The image is of a right-angled triangle. The side opposite the 19° angle is labeled 25, and the adjacent side is labeled \( x \). The right angle is marked, indicating a standard right triangle.
**Answer Options:**
1. \(\cos(19°) = \frac{x}{25}\)
2. \(\cos(19°) = \frac{25}{x}\)
3. \(\tan(19°) = \frac{x}{25}\)
4. \(\sin(19°) = \frac{x}{25}\)
**Graph/Diagram Explanation:**
The triangle shown has a right angle, one angle measuring 19 degrees, an opposite side of length 25 units, and the adjacent side labeled as \( x \).
**Solution Approach:**
To solve for \( x \), consider the trigonometric function that involves the adjacent side and the hypotenuse: cosine. The correct setup for this triangle is:
\[
\cos(19°) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{x}{25}
\]
Thus, the correct option is the first one:
1. \(\cos(19°) = \frac{x}{25}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88296449-4020-45ce-a35f-28e4157e48b0%2F2c55f175-7f5b-4d18-8cfc-2eaece0cc422%2F6e9coqo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
What is the correct set up to solve for \( x \)?
**Diagram Details:**
The image is of a right-angled triangle. The side opposite the 19° angle is labeled 25, and the adjacent side is labeled \( x \). The right angle is marked, indicating a standard right triangle.
**Answer Options:**
1. \(\cos(19°) = \frac{x}{25}\)
2. \(\cos(19°) = \frac{25}{x}\)
3. \(\tan(19°) = \frac{x}{25}\)
4. \(\sin(19°) = \frac{x}{25}\)
**Graph/Diagram Explanation:**
The triangle shown has a right angle, one angle measuring 19 degrees, an opposite side of length 25 units, and the adjacent side labeled as \( x \).
**Solution Approach:**
To solve for \( x \), consider the trigonometric function that involves the adjacent side and the hypotenuse: cosine. The correct setup for this triangle is:
\[
\cos(19°) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{x}{25}
\]
Thus, the correct option is the first one:
1. \(\cos(19°) = \frac{x}{25}\)
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