Question

Find m. Leave answer in simplest radical form.
1
30°

Answer 1

m = 6√3

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

Trigonometry

• [Right Triangles Only] SOHCAHTOA
• [Right Triangles Only] cos∅ = adjacent over hypotenuse

Explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from angle measure

Angle = 30°

Adjacent Leg = m

Hypotenuse = 12

Step 3: Solve for m

1. Substitute [cosine]: cos30° = m/12
2. Isolate m: 12cos30° = m
3. Evaluate: 10.3923 = m
4. Rewrite: m = 6√3