Question

I need help with this question pls​

Answer 1

`\displaystyle x \approx 8.6`

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

Angle θ = 16°

Adjacent Leg = 8.3

Hypotenuse = x

Step 2: Solve for x

1. Substitute in variables [cosine]:
   `\displaystyle cos16^\circ = (8.3)/(x)`
2. [Multiplication Property of Equality] Cross-multiply:
   `\displaystyle x = (8.3)/(cos16^\circ)`
3. Evaluate:
   `\displaystyle x = 8.63449`
4. Round:
   `\displaystyle x \approx 8.6`