Answer:
[tex]x=9.91098[/tex]
General Formulas and Concepts:
Pre-Alg
- Order of Operations: BPEMDAS
PreCalc
- Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
Step-by-step explanation:
Step 1: Define
A = 15°
a = 7.5 mi
B = 20°
b = x
Step 2: Solve for x
- Substitute: [tex]\frac{sin(15)}{7.5} =\frac{sin(20)}{x}[/tex]
- Cross-multiply: [tex]xsin(15)=7.5sin(20)[/tex]
- Isolate x: [tex]x=\frac{7.5sin(20)}{sin(15)}[/tex]
- Evaluate: [tex]x=9.91098[/tex]
