Respuesta :

Space

Answer:

x = 14

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] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 7

Hypotenuse = x

Step 2: Solve for x

  1. Substitute in variables [sine]:                                                                           sin(30°) = 7/x
  2. [Multiplication Property of Equality] Cross-multiply:                                       x = 7/sin(30°)
  3. Evaluate:                                                                                                           x = 14

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

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