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What is the value of x to the nearest
tenth?

What is the value of x to the nearest tenth?-example-1
User Ursa
by
7.3k points

2 Answers

6 votes

Answer:

C. 17.6

Explanation:

tan(40) = x/21

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

21 * tan(40) = x

17.6 = x

User Sylvain Rodrigue
by
7.1k points
6 votes

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

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) = (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
User Davie
by
8.6k points

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