Question

Find x. Round your answer to the nearest tenth of a degree

Answer 1

`\displaystyle x \approx 53.1^\circ`

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] cosθ = adjacent over hypotenuse
• Inverse Trig

Explanation:

Step 1: Define

Identify variables

Angle θ = x

Adjacent Leg = 15

Hypotenuse = 25

Step 2: Solve for x

1. Substitute in variables [Cosine]:
   `\displaystyle cosx^\circ = (15)/(25)`
2. Simplify:
   `\displaystyle cosx^\circ = (3)/(5)`
3. Inverse Trig:
   `\displaystyle x^\circ = cos^(-1)((3)/(5))`
4. Evaluate:
   `\displaystyle x = 53.1301^\circ`
5. Round:
   `\displaystyle x \approx 53.1^\circ`