Question

Using the law of sines, solve for ‘x’

Answer 1

`x=9.91098`

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS

PreCalc

• Law of Sines:
  `(sin(A))/(a) =(sin(B))/(b) =(sin(C))/(c)`

Explanation:

Step 1: Define

A = 15°

a = 7.5 mi

B = 20°

b = x

Step 2: Solve for x

1. Substitute:
   `(sin(15))/(7.5) =(sin(20))/(x)`
2. Cross-multiply:
   `xsin(15)=7.5sin(20)`
3. Isolate x:
   `x=(7.5sin(20))/(sin(15))`
4. Evaluate:
   `x=9.91098`