Question #11a8a
2 Answers
Apr 18, 2017
The Law of Cosines states that, for a triangle with sides
c^2=a^2+b^2-2abcos(C)
Angle
8^2=12^2+15^2-2(12)(15)cos(C)
64=144+225-360cos(C)
-305=-360cos(C)
cos(C)=305/360=61/72
Solving for
C=cos^-1(61/72)=32˚
Apr 18, 2017
Explanation:
From the figure
Now just apply the formula,
So
You get angle C as 32°.