Solve for x. round to the nearest tenth. If necessary
2 answers:
Answer:
x = 14
Step-by-step explanation:
Given :-
- θ, angle = 30°
- Hypotenuse = x
- opposite side = 7
Solution :-
Since, it's right triangle we can use trignometery equations;
In this case we need to use sine equation.
sin θ = opposite side / hypotenuse
plug the values
sin 30° = 7 / x.
cross multiplication
x = 7 / sin 30°
Evaluate
x = 7 / 0.5
x = 14
Answer:
x = 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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 = 30°
Opposite Leg = 7
Hypotenuse = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [sine]: sin(30°) = 7/x
- [Multiplication Property of Equality] Cross-multiply: x = 7/sin(30°)
- Evaluate: x = 14
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