Sunday 12 November 2017

`B = 28^@, C = 104^@, a = 3 5/8` Use the law of sines to solve the triangle. (Find missing sides/angles) Round answers to 2 decimal places.

Given:  `B=28^@, C=104^@, a=3.625`


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


`A=180-28-104=48^@`



`3.625/sin(48)=b/sin(28)=c/sin(104)`



`3.625/sin(48)=b/sin(28)`


`b=[3.625sin(28)]/sin(48)`


`b =2.29`



`3.625/sin(48)=c/sin(104)`


`c=[3.625sin(104)}/sin(48)`


`c=4.73`



Given:  `B=28^@, C=104^@, a=3.625`


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


`A=180-28-104=48^@`



`3.625/sin(48)=b/sin(28)=c/sin(104)`



`3.625/sin(48)=b/sin(28)`


`b=[3.625sin(28)]/sin(48)`


`b =2.29`



`3.625/sin(48)=c/sin(104)`


`c=[3.625sin(104)}/sin(48)`


`c=4.73`



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