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°.