haliahkealoha1 haliahkealoha1
  • 04-01-2021
  • Mathematics
contestada

Find C.
Round to the nearest tenth.
90 ft
55 ft
A
В
50 ft
C = [? ]°
YLaw of Cosines: c2 = a+ b2 - 2ab cos C

Find C Round to the nearest tenth 90 ft 55 ft A В 50 ft C YLaw of Cosines c2 a b2 2ab cos C class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 04-01-2021

9514 1404 393

Answer:

  29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

  C = arccos((a^2 +b^2 -c^2)/(2ab))

  C = arccos((90^2 +55^2 -50^2)/(2·90·55))

  C = arccos(8625/9900) ≈ 29.4002°

  C ≈ 29.4°

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