Respuesta :

As it asks for the sine of the triangle, use SOHCAHTOA.

For sine, it is SOH, or:

SINE: opposite/hypotenuse.

We are looking at angle Y.

The opposite of angle Y is the side y

The hypotenuse (or the longest side, opposite over the right angle) is side z
Place the opposite over the hypotenuse

Opposite = y
Hypotenuse = z

y/z, or option J, is your answer


Hope this helps
Space

Answer:

J. y/z

General Formulas and Concepts:

Trigonometry

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

Step-by-step explanation:

Step 1: Define

Angle θ = Y

Opposite Leg of Y = y

Hypotenuse = z

Step 2: Find

  1. Substitute in variables [Sine]:                                                                        sinY° = y/z