Question

If A = 50 degrees, B = 62 degrees, and a = 4, find b.Round to the nearest tenth.​

Answer 1

Answer:

$b \approx 4.6$

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

Pre-Calculus

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

Step-by-step explanation:

Step 1: Define

A = 50°

B = 62°

a = 4

Step 2: Solve for b

1. Substitute [LOS]:                    $\frac{sin(50)}{4} = \frac{sin(62)}{b}$
2. Cross-multiply:                       $bsin(50) = 4sin(62)$
3. Isolate b:                                 $b = \frac{4sin(62)}{sin(50)}$
4. Evaluate:                                 $b = 4.61042$
5. Round:                                    $b \approx 4.6$