Question

Find x. Round your answer to the nearest integer. 25 х 37°

Answer 1

Answer:

A. 15

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 = 37°

Opposite Leg = x

Hypotenuse = 25

Step 2: Solve for x

1. Substitute in variables [sine]:                                                                           sin37° = x/25
2. [Multiplication Property of Equality] Multiply 25 on both sides:                    25sin37° = x
3. Evaluate:                                                                                                           15.0454 = x
4. Rewrite:                                                                                                             x = 15.0454
5. Round:                                                                                                               x ≈ 15