Question

BC -

Round your answer to the nearest hundredth.
B
?
35
A
с
2.

Answer 1

BC ≈ 1.40

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
• Subtract Property of Equality

Trigonometry

• [Right Triangles Only] SOHCAHTOA
• [Right Triangles Only] tanθ = opposite over adjacent

Explanation:

Step 1: Identify

Angle θ = 35°

Opposite Leg BC = x

Adjacent Leg AC = 2

Step 2: Solve for x

1. Substitute [Tangent]: tan35° = x/2
2. Isolate x: 2tan35° = x
3. Rewrite: x = 2tan35°
4. Evaluate: x = 1.40042
5. Round: x ≈ 1.40

Answer 2

Tangent (Angle) = Opposite side / adjacent side

Tangent(35) = BC/2

Multiply both sides by 2:

BC = 2 x Tangent(35)

BC = 1.40042

Rounded to nearest hundredth: BC = 1.40