Question

What is the value of x to the nearest tenth?

Answer 1

Answer:

C. 17.6

Step-by-step explanation:

tan(40) = x/21

(21) tan(40) = x/21 (21)

21 * tan(40) = x

17.6 = x

Answer 2

Answer:

C. 17.6

General Formulas and Concepts:

Math

• Rounding

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 Variables

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 21

Step 2: Solve for x

1. Substitute in variables [tangent]:                                                                   $\displaystyle tan(40^\circ) = \frac{x}{21}$
2. [Multiplication Property of Equality] Isolate x:                                                $\displaystyle 21tan(40^\circ) = x$
3. Rewrite:                                                                                                           $\displaystyle x = 21tan(40^\circ)$
4. Evaluate:                                                                                                          $\displaystyle x = 17.6211$
5. Round:                                                                                                            $\displaystyle x \approx 17.6$