Question

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

Answer 1

Answer:

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

Step-by-step 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