Question

Solve for x. round your answer to the nearest tenthTrigonometry ​

Answer 1

Answer:

$\displaystyle x \approx 16.5$

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

Step-by-step explanation:

Step 1: Define

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

1. Substitute in variables [tangent]:                                                                     $\displaystyle tan70^\circ = \frac{x}{6}$
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:                                                                                                               $\displaystyle x \approx 16.5$