Question

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

Answer 1

Answer:

$4\sqrt{3}$

Step-by-step explanation:

$cos30$ ° = $\frac{x}{8}$

cos x = $\frac{adjacent }{hypotenuse }$

$\frac{\sqrt{3} }{2}$ = $\frac{x}{8}$

x = $\frac{8\sqrt{3} }{2}$

x = $4\sqrt{3}$

I hope it helps.

Answer 2

Answer:

$\displaystyle x = 4\sqrt{3}$

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

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 30°

Adjacent Leg = x

Hypotenuse = 8

Step 2: Solve for x

1. Substitute in variables [cosine]:                                                                     $\displaystyle cos(30^\circ) = \frac{x}{8}$
2. [Multiplication Property of Equality] Isolate x:                                               $\displaystyle 8cos(30^\circ) = x$
3. Rewrite:                                                                                                           $\displaystyle x = 8cos(30^\circ)$
4. Evaluate:                                                                                                         $\displaystyle x = 4\sqrt{3}$