Question

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 .

Answer 1

The correct answer is:

14

To the nearest whole number, the value of m is 14.

`|Huntrw6|`

Answer 2

we know that

the law of cosines establishes:

c² = a² + b² - 2 ab cos C

in this problem

a=27

b=18

C=28°

c=m

m² = 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