geometry

Just plug into the Law of Cosines clue and solve for angle C

8² +17² -2(8)(17) cos c = 16²      Solve for angle C   (using arc cos)

a=17ft

b=8ft

c=16ft

$\gamma=[?]^0$

Hello Guest!

$\color{blue}c^2=a^2+b^2-2ac\ cos\gamma\\ cos\ \gamma=\frac{a^2+b^2-c^2}{2ac}\\ coc\ \gamma=\frac{17^2+8^2-16^2}{2\cdot 17\cdot 16}$

$cos\ \gamma=0.1783\\ \gamma=arccos\ 0.1783$

$\gamma=79.7^0$

  !