Find mLZ. VI05 35 mZZ : %3D

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°.
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Find m
The image shows a right triangle XYZ with the right angle at X. The triangle has the following side lengths:

- ZX (the hypotenuse) is labeled as \(\sqrt{105}\).
- XY (one leg) is labeled as \(\sqrt{35}\).
- The triangle is oriented with X at the top, and the right angle is marked with a small square at X.

The task presented is:

"Find \( m \angle Z \)."

There is a space provided to fill in the measure of angle Z:

" \( m \angle Z = \underline{\phantom{360}}^\circ \)." 

To find \( m \angle Z \), use trigonometric ratios applicable to right triangles.
Transcribed Image Text:The image shows a right triangle XYZ with the right angle at X. The triangle has the following side lengths: - ZX (the hypotenuse) is labeled as \(\sqrt{105}\). - XY (one leg) is labeled as \(\sqrt{35}\). - The triangle is oriented with X at the top, and the right angle is marked with a small square at X. The task presented is: "Find \( m \angle Z \)." There is a space provided to fill in the measure of angle Z: " \( m \angle Z = \underline{\phantom{360}}^\circ \)." To find \( m \angle Z \), use trigonometric ratios applicable to right triangles.
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