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Airida [17]
3 years ago
9

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

Mathematics
1 answer:
nlexa [21]3 years ago
5 0

Answer:

\displaystyle x \approx 16.5

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = 70°

Opposite Leg = <em>x</em>

Adjacent Leg = 6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [tangent]:                                                                     \displaystyle tan70^\circ = \frac{x}{6}
  2. [Multiplication Property of Equality] Isolate <em>x</em>:                                                \displaystyle 6tan70^\circ = x
  3. Rewrite:                                                                                                             \displaystyle x = 6tan70^\circ
  4. Evaluate:                                                                                                           \displaystyle x = 16.4849
  5. Round:                                                                                                               \displaystyle x \approx 16.5
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