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Sagot :

Answer:  y = 9sqrt(3)

"sqrt" is shorthand for "square root". If you need x as well, it is x = 18

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Explanation:

This is a 30-60-90 triangle. The hypotenuse is twice that of the short leg, so the hypotenuse is x = 2*9 = 18 units.

The long leg is sqrt(3) times the short leg, so y = 9sqrt(3)

You could use the trig ratios (sine, cosine, tangent) to help find these values.

Space

Answer:

[tex]\displaystyle y = 9\sqrt{3}[/tex]

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] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 9

Adjacent Leg = y

Step 2: Solve for y

  1. Substitute in variables [Tangent]:                                                                    [tex]\displaystyle tan(30^\circ) = \frac{9}{y}[/tex]
  2. [Multiplication Property of Equality] Cross-multiply:                                        [tex]\displaystyle y = \frac{9}{tan(30^\circ)}[/tex]
  3. Evaluate:                                                                                                           [tex]\displaystyle y = 9\sqrt{3}[/tex]
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