Refer to image below

A ≈ 40°

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 Subtract Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = A

Opposite Leg = 27

Hypotenuse = 42

Step 2: Solve for A

Substitute [sine]:                                                                                             sinA = 27/42Simplify:                                                                                                           sinA = 9/14Trig inverse:                                                                                                    A = sin⁻¹(9/14)Evaluate:                                                                                                         A = 40.0052°Round:                                                                                                             A ≈ 40°

Sis less than or equal to 75 (bottom left)