Question

Find the value of x. Round to the nearest degree.

A. 53
B. 38
C. 47
D. 41

(picture included) (please help i need to pass this in order to pass my class)

Answer 1

x = 53

Step-by-step explantion:

I took the test

Answer 2

x ≈ 53°

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] tan∅ = opposite over adjacent

Explanation:

Step 1: Identify

Opposite Leg of x = 12

Adjacent Leg of x = 15

Step 2: Solve for x

1. Substitute [tangent]: sinx° = 12/15
2. Trig inverse: x° = sin⁻¹(12/15)
3. Evaluate: x = 53.1301°
4. Round: x ≈ 53°