Question

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

Answer 1

Step-by-step explanation:

We know that,

$\boxed{\sf \sin θ = \dfrac{Opposite \: side}{Hypotenuse}}$

$\longmapsto \sf \sin 30^{\circ} = \dfrac{x}{12}$

$\longmapsto \sf \dfrac{1}{2}= \dfrac{x}{12}$

$\longmapsto \sf \dfrac{1}{2}×12= \dfrac{x}{12}×12$

$\longmapsto \sf x = 6$

Answer 2

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°.