Respuesta :

bhargavnitesh291

Step-by-step explanation:

We know that,

[tex]\boxed{\sf \sin θ = \dfrac{Opposite \: side}{Hypotenuse}}[/tex]

[tex]\longmapsto \sf \sin 30^{\circ} = \dfrac{x}{12}[/tex]

[tex]\longmapsto \sf \dfrac{1}{2}= \dfrac{x}{12}[/tex]

[tex]\longmapsto \sf \dfrac{1}{2}×12= \dfrac{x}{12}×12[/tex]

[tex]\longmapsto \sf x = 6[/tex]

chetankachana

Answer:

x = 6

Step-by-step explanation:

Hello!

The missing angle is 60°, and is found by subtracting 90° and 30° from 180°.

Using basic triangle theorems of a 30° - 60° - 90° triangle, we know that the leg opposite to 30°, x, is one-half of the hypotenuse.

So:

  • x = 0.5(12)
  • x = 6.

The value of x is 6.

The leg opposite to 60° is √3 times the leg opposite to 30°.

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