Question

Find x. Round your answer to the nearest integer.
25
х
37°

Answer 1

A. 15

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: Define

Identify variables

Angle θ = 37°

Opposite Leg = x

Hypotenuse = 25

Step 2: Solve for x

1. Substitute in variables [sine]: sin37° = x/25
2. [Multiplication Property of Equality] Multiply 25 on both sides: 25sin37° = x
3. Evaluate: 15.0454 = x
4. Rewrite: x = 15.0454
5. Round: x ≈ 15