Solve for X to the nearest tenth.

x ≈ 24.4

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

Identify variables

Angle θ = 38°

Adjacent Leg = x

Hypotenuse = 31 cm

Step 2: Solve for x

Substitute in variables [cosine]:                                                                       cos38° = x/31[Multiplication Property of Equality] Multiply 31 on both sides:                     31cos38° = xRewrite:                                                                                                             x = 31cos38°Evaluate:                                                                                                           x = 24.4283Round:                                                                                                               x ≈ 24.4