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Find angle C.

 

 Sep 4, 2020
 #1
avatar+27001 
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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)

 Sep 4, 2020
 #2
avatar+10123 
+1

a=17ft

b=8ft

c=16ft

\(\gamma=[?]^0\)

 

Hello Guest!

 

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

\(cos\ \gamma=0.1783\\ \gamma=arccos\ 0.1783\)

\(\gamma=79.7^0\)

laugh  !

 Sep 4, 2020
edited by asinus  Sep 4, 2020

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