Question

AB=
Round your answer to the nearest hundredth.

Answer 1

AB ≈ 9.46

General Formulas and Concepts:

Math

• Round

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] cosθ = adjacent over hypotenuse

Explanation:

Step 1: Identify

Angle θ = 25°

Adjacent Leg = 4

Hypotenuse = AB

Step 2: Solve for AB

1. Substitute in variables [cosine]: sin25° = 4/AB
2. [Multiplication Property of Equality] Multiply AB on both sides: ABsin25° = 4
3. [Division Property of Equality] Isolate AB: AB = 4/sin25°
4. Evaluate: AB = 9.46481
5. Round: AB ≈ 9.46