Find x. Round your answer to the nearest integer.
25
х
37°

A. 15

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: Define

Identify variables

Angle θ = 37°

Opposite Leg = x

Hypotenuse = 25

Step 2: Solve for x

Substitute in variables [sine]:                                                                           sin37° = x/25[Multiplication Property of Equality] Multiply 25 on both sides:                    25sin37° = xEvaluate:                                                                                                           15.0454 = xRewrite:                                                                                                             x = 15.0454Round:                                                                                                               x ≈ 15