Respuesta :

Answer and Step-by-step explanation:

90ft = a

55ft = b

50ft = c

Plug into equation.

[tex]50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4[/tex]

29.4° is the answer.