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alina1380 [7]
3 years ago
10

Find m angle f to the nearest degree

Mathematics
1 answer:
dimaraw [331]3 years ago
8 0

Answer:

∠F ≈ 53°

General Formulas and Concepts:

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse
  • sin inverse evaluates "backward" to find the measure angle

Step-by-step explanation:

<u>Step 1: Define</u>

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

<u>Step 2: Find m∠F</u>

  1. Substitute:                    sin∠F = 8/10
  2. Simplify:                        sin∠F = 4/5
  3. Take sin inverse:          ∠F = sin⁻¹(4/5)
  4. Evaluate:                       ∠F = 53.1301°
  5. Round:                           ∠F ≈ 53°
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