Question

Solve for x in the triangle round your answer to the nearest tenth

Answer 1

x ≈ 27.5

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] tanθ = opposite over adjacent

Explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 10

Step 2: Solve for x

1. Substitute in variables [tangent]: tan70° = x/10
2. [Multiplication Property of Equality] Multiply 10 on both sides: 10tan70° = x
3. Rewrite: x = 10tan70°
4. Evaluate: x = 27.4748
5. Round: x ≈ 27.5