Question

May someone solve and give explanation

Answer 1

θ = 49.4584°

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

Trigonometry

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

Explanation:

Step 1: Define

Identify variables

Angle θ = ?

Adjacent Leg = 13

Hypotenuse = 20

Step 2: Find Angle

1. Substitute in variables [cosine]: cosθ = 13/20
2. Inverse Trig: θ = cos⁻¹(13/20)
3. Evaluate: θ = 49.4584°