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3 years ago

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

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

6 0

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

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