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

Asked 6 months ago
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1
Find m. Leave answer in simplest radical form.
1
30°

1 Answer

2

Answer:

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

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

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

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Dr. Vern Weimann
15.5k 3 10 26
answered 6 months ago