Question

Plsss help me out and if you can show work if not its ok

Answer 1

`4√(3)`

Explanation:

`cos30` ° =
`(x)/(8)`

cos x =
`(adjacent )/(hypotenuse )`

`(√(3) )/(2)` =
`(x)/(8)`

x =
`(8√(3) )/(2)`

x =
`4√(3)`

I hope it helps.

Answer 2

`\displaystyle x = 4√(3)`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Trigonometry

• [Right Triangles Only] SOHCAHTOA
• [Right Triangles Only] cosθ = adjacent over hypotenuse

Explanation:

Step 1: Identify Variables

Angle θ = 30°

Adjacent Leg = x

Hypotenuse = 8

Step 2: Solve for x

1. Substitute in variables [cosine]:
   `\displaystyle cos(30^\circ) = (x)/(8)`
2. [Multiplication Property of Equality] Isolate x:
   `\displaystyle 8cos(30^\circ) = x`
3. Rewrite:
   `\displaystyle x = 8cos(30^\circ)`
4. Evaluate:
   `\displaystyle x = 4√(3)`