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 =
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
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
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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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