Wednesday 18 September 2013

`A = 110^@ 15', a = 48, b = 16` Use the law of sines to solve the triangle. (Find missing sides/angles) Round answers to 2 decimal places.

Given: `A=110^@15', a=48, b=16`


Law of Sines `a/sin(A)=b/sin(B)=c/sin(C)`



`48/sin(110.25)=16/sin(B)=c/sin(C)`



`48/sin(110.25)=16/sin(B)`


`sin(B)=[16sin(110.25)]/48`


`sin(B)=.3127`


`B=arccos(.3127)`


`B=18.22^@`



`C-180-110.25-18.22`


`C=51.53^@`



`48/sin(110.25)=c/sin(51.53)`


`c=[48sin(51.53)]/sin(110.25)`


`c=40.06`


Given: `A=110^@15', a=48, b=16`


Law of Sines `a/sin(A)=b/sin(B)=c/sin(C)`



`48/sin(110.25)=16/sin(B)=c/sin(C)`



`48/sin(110.25)=16/sin(B)`


`sin(B)=[16sin(110.25)]/48`


`sin(B)=.3127`


`B=arccos(.3127)`


`B=18.22^@`



`C-180-110.25-18.22`


`C=51.53^@`



`48/sin(110.25)=c/sin(51.53)`


`c=[48sin(51.53)]/sin(110.25)`


`c=40.06`


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