Question

Question is on the pic

Answer 1

x = 34.8499°

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

Trigonometry

• [Right Triangles Only] SOHCAHTOA
• [Right Triangles Only] sin∅ = opposite over hypotenuse
• Trig Inverses

Explanation:

Step 1: Identify Variables

Angle = x (in deg)

Opposite Leg = 4

Hypotenuse = 7

Step 2: Solve for x

1. Substitute [sine]: sin(x°) = 4/7
2. Sine Inverse: x° = sin⁻¹(4/7)
3. Evaluate: x = 34.8499°