Question

URGENT!!!!! Find the sine of angle Y

Answer 1

`\displaystyle \sin Y = (3)/(5)`

General Formulas and Concepts:
Geometry

• Symbols

Trigonometry

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

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]:
   `\displaystyle \sin Y = (6)/(10)`
2. Simplify:
   `\displaystyle \sin Y = (3)/(5)`

∴ the sine of ∠Y is equal to 3/5.

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Topic: Geometry A

Unit: Trig Ratios