Question

Using the law of sines, solve for ‘x’

Answer 1

Answer:

$x=9.91098$

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS

PreCalc

• Law of Sines: $\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}$

Step-by-step explanation:

Step 1: Define

A = 15°

a = 7.5 mi

B = 20°

b = x

Step 2: Solve for x

1. Substitute:                    $\frac{sin(15)}{7.5} =\frac{sin(20)}{x}$
2. Cross-multiply:             $xsin(15)=7.5sin(20)$
3. Isolate x:                       $x=\frac{7.5sin(20)}{sin(15)}$
4. Evaluate:                       $x=9.91098$