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

Solve for x. round your answer to the nearest tenth Trigonometry ​-example-1
User Kolslorr
by
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1 Answer

6 votes

Answer:


\displaystyle x \approx 11.1

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] cosθ = adjacent over hypotenuse

Explanation:

Step 1: Define

Angle θ = 42°

Adjacent Leg = x

Hypotenuse = 15

Step 2: Solve for x

  1. Substitute in variables [cosine]:
    \displaystyle cos42^\circ = (x)/(15)
  2. [Multiplication Property of Equality] Isolate x:
    \displaystyle 15cos42^\circ = x
  3. Rewrite:
    \displaystyle x = 15cos42^\circ
  4. Evaluate:
    \displaystyle x = 11.1472
  5. Round:
    \displaystyle x \approx 11.1
User Iron Pillow
by
7.8k points

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