Respuesta :

Space

Answer:

y ≈ 33.4 ft

General Formulas and Concepts:

Pre-Algebra

  • Equality Properties

Trigonometry

  • [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 length.

Step 2: Identify Variables

POV from angle measure

Angle = 80°

Adjacent = 5.8

Hypotenuse = y

Step 3: Solve for y

  1. Substitute [cosine]:                   cos80° = 5.8/y
  2. Multiply y on both sides:          ycos80° = 5.8
  3. Isolate y:                                    y = 5.8/cos80°
  4. Evaluate:                                    y = 33.4009
  5. Round:                                       y ≈ 33.4 ft

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