Question

PLEASEE SOMEONE HELP ME ON THIS ITS TODAY IN A COUPLE HOURS!!!

Answer 1

`\displaystyle y = 2.90717`

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] sinθ = opposite over hypotenuse

Explanation:

Step 1: Identify

Angle θ = 20°

Opposite Leg = y

Hypotenuse = 8.5

Step 2: Solve for y

1. Substitute in variables [sine]:
   `\displaystyle sin20^\circ = (y)/(8.5)`
2. [Multiplication Property of Equality] Multiply 8.5 on both sides:
   `\displaystyle 8.5sin20^\circ = y`
3. Evaluate:
   `\displaystyle 2.90717 = y`
4. Rewrite:
   `\displaystyle y = 2.90717`