Find the value of x. round to the nearest tenth

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] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 23°

Opposite Leg = x

Hypotenuse = 21

Step 2: Solve for x

Substitute in variables [sine]:                                                                         [Multiplication Property of Equality] Isolate x:                                              Rewrite:                                                                                                           Evaluate:                                                                                                         Round: