Question

Please help me!! High school algebra 2 math. Big Ideas Math.

Answer 1

Explanation:

We know that,

`\boxed{\sf \sin θ = (Opposite \: side)/(Hypotenuse)}`

`\longmapsto \sf \sin 30^(\circ) = (x)/(12)`

`\longmapsto \sf (1)/(2)= (x)/(12)`

`\longmapsto \sf (1)/(2)×12= (x)/(12)×12`

`\longmapsto \sf x = 6`

Answer 2

x = 6

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°.