Question

BC=
round to the nearest hundredth

Answer 1

AC ≈ 5.87

General Formulas and Concepts:

Math

• Rounding

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] tanθ = opposite over adjacent

Explanation:

Step 1: Identify

Angle θ = 50°

Opposite Leg = 7

Adjacent Leg = BC

Step 2: Solve for BC

1. Substitute in variables [tangent]: tan50° = 7/AC
2. [Multiplication Property of Equality] Multiply AC on both sides: ACtan50° = 7
3. [Division Property of Equality] Isolate AC: AC = 7/tan50°
4. Evaluate: AC = 5.8737
5. Round: AC ≈ 5.87