Question

May someone solve and give explanation

Answer 1

Answer:

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

Step-by-step 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°