Solve the right angle trig problem. round to the nearest tenth.

x ≈ 36.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

Angle = 31°

Opposite = 19

Hypotenuse = x

Step 3: Solve for x

Substitute:                                 sin31° = 19/xMultiply x on both sides:          xsin31° = 19Isolate x:                                    x = 19/sin31°Evaluate:                                    x = 36.8905Round:                                       x ≈ 36.9