In right triangle XYZ, mZY = 37° andXY = 27. Which of the following is NOT a method you can use to find XZ? Assume angle Z is the right angle. A Solve cos Y = , and then use the Pythagorean Theorem. B Find mZX, and then solve cos X = c Solve tan Y %3D D Solve sin Y =

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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### Trigonometry Practice Problem

In right triangle XYZ, the measure of angle Y (\( m\angle Y \)) is 37°, and side XY = 27. Which of the following is NOT a method you can use to find side XZ? Assume angle Z is the right angle.

#### Options:
A. Solve \( \cos Y = \frac{X}{Z} \), and then use the Pythagorean Theorem.
B. Find \( m\angle X \), and then solve \( \cos X = \frac{Y}{Z} \).
C. Solve \( \tan Y = \frac{Y}{X} \).
D. Solve \( \sin Y = \frac{Y}{Z} \).

The question is asking which of these methods cannot be used to determine the length of side XZ in the given right triangle.

To summarize the specific details:
- In right triangle XYZ:
  - \( m\angle Y = 37° \)
  - \( XY = 27 \)
  - Z is the right angle
   
Given these parameters, analyze each method (A, B, C, D) to determine if it is a valid method for finding \( XZ \).
Transcribed Image Text:### Trigonometry Practice Problem In right triangle XYZ, the measure of angle Y (\( m\angle Y \)) is 37°, and side XY = 27. Which of the following is NOT a method you can use to find side XZ? Assume angle Z is the right angle. #### Options: A. Solve \( \cos Y = \frac{X}{Z} \), and then use the Pythagorean Theorem. B. Find \( m\angle X \), and then solve \( \cos X = \frac{Y}{Z} \). C. Solve \( \tan Y = \frac{Y}{X} \). D. Solve \( \sin Y = \frac{Y}{Z} \). The question is asking which of these methods cannot be used to determine the length of side XZ in the given right triangle. To summarize the specific details: - In right triangle XYZ: - \( m\angle Y = 37° \) - \( XY = 27 \) - Z is the right angle Given these parameters, analyze each method (A, B, C, D) to determine if it is a valid method for finding \( XZ \).
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