Q:

the 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 is .

Accepted Solution

A:
we know that
the law of cosines establishes:  c² = a² + b² - 2 ab cos C in this problema=27b=18C=28°c=mm² = 27² + 18² - 2*(27)*(18)* cos(28°) 
m² = 729 + 324 - 972* cos(28°) 
m² = 1053 - 972* 0.8829
m² = 194.82-------------> m=13.96-----------> 14
the answer is m=14 units