Respuesta :

Space

Answer:

[tex]\displaystyle \sin Y = \frac{3}{5}[/tex]

General Formulas and Concepts:
Geometry

  • Symbols

Trigonometry

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables.

Given triangle is a right triangle.

Side XZ, opposite to ∠Y is equal to 6.

Side ZY, the hypotenuse of the right triangle, is equal to 10.

Step 2: Find

  1. Substitute in variables [Sine]:                                                                      [tex]\displaystyle \sin Y = \frac{6}{10}[/tex]
  2. Simplify:                                                                                                        [tex]\displaystyle \sin Y = \frac{3}{5}[/tex]

∴ the sine of ∠Y is equal to 3/5.

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Topic: Geometry A

Unit: Trig Ratios

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