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

x ≈ 27.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

Substitute in variables [tangent]:                                                                     tan70° = x/10[Multiplication Property of Equality] Multiply 10 on both sides:                     10tan70° = xRewrite:                                                                                                             x = 10tan70°Evaluate:                                                                                                           x = 27.4748Round:                                                                                                               x ≈ 27.5

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