The law of cosines is used to find the value of m. To the nearest whole number, what is the value of m?
Accepted Solution
A:
Answer:[tex]m=14\ units[/tex]Step-by-step explanation:The complete question isThe law of cosines is used to find the value of m. m2 = 272 + 182 ??? 2(27)(18)cos(28??) m2 = 729 + 324 ??? (972)cos(28??) m2 = 1053 ??? (972)cos(28??) To the nearest whole number, the value of m iswe know thatthe law of cosines establishes:[tex]c^2=a^2+b^2-2(ab)cos(C)[/tex]in this problemwe have[tex]a=27\ units\\b=18\ units\\C=28\°\\c=m[/tex][tex]m^2=27^2+18^2-2(27)(18)cos(28\°)\\m^2=729+324- (972)cos(28\°)\\m^2=1053- (972)0.8829\\m^2=194.82\\m=13.9\ units\\m=14\ units[/tex]therefore[tex]m=14\ units[/tex]