Question

Find the length of the unknown side x​

Answer 1

Answer:

37.0469 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. 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] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify

Angle θ = 39°

Opposite Leg = 30

Adjacent Leg = x

Step 2: Solve for x

1. Substitute in variables [tangent]:                                                                   $\displaystyle tan39^\circ = \frac{30}{x}$
2. Cross-multiply:                                                                                                $\displaystyle x = \frac{30}{tan39^\circ}$
3. Evaluate:                                                                                                         $\displaystyle x = 37.0469$