Question

Solve for x. Round to the nearest tenth of a degree, if necessary. Please help!!!!

45
W
V
92

Answer 1

`\displaystyle x^\circ \approx 29.3`

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
• Inverse Trig

Explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 45

Hypotenuse = 92

Step 2: Solve for x

1. Substitute in variables [sine]:
   `\displaystyle sin(x^\circ) = (45)/(92)`
2. Inverse Trig:
   `\displaystyle x^\circ = sin^(-1)((45)/(92))`
3. Evaluate:
   `\displaystyle x^\circ = 29.2834436`
4. Round:
   `\displaystyle x^\circ \approx 29.3`