Respuesta :

Space

Answer:

∅ = 40.3°

General Formulas and Concepts:

Trigonometry

  • cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Looking for m∠A

Step 2: Identify

adjacent leg of ∠A = AC = 7.4

hypotenuse = AB = 9.7

Step 3: Find theta

  1. Substitute:                    cos∅ = 7.4/9/7
  2. Take trig inverse:         ∅ = cos⁻¹(7.4/9.7)
  3. Evaluate:                       ∅ = 40.2807°
  4. Round:                          ∅ = 40.3°