191,776 views
8 votes
8 votes
Please help me!! High school algebra 2 math. Big Ideas Math.

Please help me!! High school algebra 2 math. Big Ideas Math.-example-1
User Idan
by
2.9k points

2 Answers

16 votes
16 votes

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

User Michiel J Otto
by
2.5k points
14 votes
14 votes

Answer:

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°.

User Harish Kulkarni
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.