**Mathematics Problem: Right Triangle XYZ**In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.**Question:**Which is the approximate measure of angle YZX?**Choices:**- A) $34.8^\circ$- B) $39.4^\circ$- C) $50.6^\circ$- D) $55.2^\circ$This problem involves understanding the properties of right triangles and using trigonometric principles to determine an angle measure.

The trigonometric function tan θ=sin θcos θ.

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX? O 34.8° 39.4° O 50.6° 55.2°

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX? O 34.8° 39.4° O 50.6° 55.2°

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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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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**Mathematics Problem: Right Triangle XYZ**

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.

**Question:**
Which is the approximate measure of angle YZX?

**Choices:**
- A) $34.8^\circ$
- B) $39.4^\circ$
- C) $50.6^\circ$
- D) $55.2^\circ$

This problem involves understanding the properties of right triangles and using trigonometric principles to determine an angle measure.

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