Question

Solve for x. round your answer to the nearest tenth
Trigonometry ​

Answer 1

`\displaystyle x \approx 16.5`

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

Explanation:

Step 1: Define

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

1. Substitute in variables [tangent]:
   `\displaystyle tan70^\circ = (x)/(6)`
2. [Multiplication Property of Equality] Isolate x:
   `\displaystyle 6tan70^\circ = x`
3. Rewrite:
   `\displaystyle x = 6tan70^\circ`
4. Evaluate:
   `\displaystyle x = 16.4849`
5. Round:
   `\displaystyle x \approx 16.5`