Solve for x. Round your answer to the nearest tenth (one decimal place).

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] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 78°

Adjacent Leg = x

Hypotenuse = 32

Step 2: Solve for x

Substitute in variables [cosine]:                                                                       [Multiplication Property of Equality] Multiply 32 on both sides:                    Rewrite:                                                                                                             Evaluate:                                                                                                           Round: