amyatheplug09 amyatheplug09
  • 17-01-2021
  • Mathematics
contestada

Find C.
Round to the nearest tenth.
с
17 ft
8 ft
B
А
16 ft
C = [ ? ]
Law of Cosines : c2 = a2 + b2 - 2ab cos C
Enter

Find C Round to the nearest tenth с 17 ft 8 ft B А 16 ft C Law of Cosines c2 a2 b2 2ab cos C Enter class=

Respuesta :

SkiffMackinaw SkiffMackinaw
  • 17-01-2021

Answer:

[tex]C=69.1^{\circ}[/tex]

Step-by-step explanation:

The Law of Cosines is given as:

[tex]c^2=a^2+b^2-2ab\cos C[/tex].

Plugging in given values, we get:

[tex]16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}[/tex].

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