Answer:
x = 6.3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Trigonometry
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tan∅ = opposite over adjacent
Explanation:
Step 1: Define
We have a right triangle triangle. We can use trig to find the missing length.
Step 2: Identify Variables
POV from the angle measure
Angle = 64°
Opposite = 13
Adjacent = x
Step 3: Solve for x
- Substitute: tan64° = 13/x
- Multiply x on both sides: xtan64° = 13
- Isolate x: x = 13/tan64°
- Evaluate: x = 6.34052