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scoundrel [369]
3 years ago
10

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:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

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

<u>Step 2: Identify Variables</u>

<em>POV from angle measure</em>

Angle = 30°

Adjacent Leg = <em>m</em>

Hypotenuse = 12

<u>Step 3: Solve for </u><em><u>m</u></em>

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

<em />

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