Respuesta :

mhanifa

Answer:

  • m∠C = 43.6°, m∠B = 107.4°, b = 51.2

Step-by-step explanation:

Use the law of sines:

  • a / sin ∠A = c / sin ∠C
  • 26 / sin 29° = 37 / sin ∠C
  • sin ∠C = 37 sin 29° / 26
  • sin ∠C = 0.6899
  • m∠C = arcsin 0.6899
  • m∠C = 43.6°

Find the missing angle:

  • m∠B = 180° - 29° - 43.6° = 107.4° (rounded)

Use the law of sines to find the length of b:

  • a / sin ∠A = b / sin ∠B
  • 26 / sin 29° = b / sin 107.4°
  • b = 26 sin 107.4° / sin 29°
  • b = 51.2 units (rounded)

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