Question

What is value of X on this triangle

Answer 1

x = 11.4715

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

Trigonometry

• [Right Triangles Only] SOHCAHTOA
• [Right Triangles Only] sinθ = opposite over hypotenuse

Explanation:

Step 1: Define

Angle θ = 35°

Opposite Leg = x

Hypotenuse = 20

Step 2: Solve for x

1. Substitute [Sine]: sin35° = x/20
2. Isolate x: 20sin35° = x
3. Rewrite: x = 20sin35°
4. Evaluate: x = 11.4715