Find m. Leave answer in simplest radical form.

1

30°

1

30°

1

30°

Asked
6 months ago

Viewed
33549 times

**Answer:**

m = 6√3

**General Formulas and Concepts:**

__Pre-Algebra__

Order of Operations: **BPEMDAS
**

- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction

- Left to Right

Equality Properties

__Trigonometry__

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

**Step-by-step 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__

- Substitute [cosine]: cos30° = m/12
- Isolate
*m*: 12cos30° = m - Evaluate: 10.3923 = m
- Rewrite: m = 6√3