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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.
Answer:
[tex]\displaystyle y = 9\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- 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
- Substitute in variables [Tangent]: [tex]\displaystyle tan(30^\circ) = \frac{9}{y}[/tex]
- [Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle y = \frac{9}{tan(30^\circ)}[/tex]
- Evaluate: [tex]\displaystyle y = 9\sqrt{3}[/tex]
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