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Genrish500 [490]
3 years ago
12

Solve for X in the triangle. Round your answer to the nearest tenth

Mathematics
1 answer:
andrezito [222]3 years ago
5 0

Answer:

\displaystyle x \approx 9.9

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] sinθ = opposite over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = 64°

Opposite Leg = <em>x</em>

Hypotenuse = 11

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

  1. Substitute in variables [sine]:                                                                           \displaystyle sin(64^\circ) = \frac{x}{11}
  2. [Multiplication Property of Equality] Multiply 11 on both sides:                      \displaystyle 11sin(64^\circ) = x
  3. Rewrite:                                                                                                             \displaystyle x = 11sin(64^\circ)
  4. Evaluate:                                                                                                           \displaystyle x = 9.88673
  5. Round:                                                                                                               \displaystyle x \approx 9.9
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