Respuesta :

Answer:

sinZ=opposite/hypotenuse

the opposite is 48,the hypotenuse is 50

therefore sinZ=48/50

simplified to 24/25

I hope this helps

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The value of the trigonometric ratio, Sin(∠Z) is 24/25.

What is Sine (Sinθ)?

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In ΔXYZ, for ∠Z, YZ is the base side, and XY is the perpendicular side. Therefore, the trigonometric ratio for ∠Z can be written as,

Sin(∠Z) = (XY)/(XZ)

Sin(∠Z) = 48/50

Sin(∠Z) = 24/25

Hence,  the value of the trigonometric ratio, Sin(∠Z) is 24/25.

Learn more about Sine:

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