Friday, July 18, 2014

`A = 100^@, a = 125, c = 10` Use the law of sines to solve the triangle. (Find missing sides/angles) Round answers to 2 decimal places.

Given: `A=100^@, a=125, c=10`


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


`125/sin(100)=b/sin(B)=10/sin(C)`



`sin(C)=[10sin(100)]/125`


`sin(C)=.0788`


`C=arcsin(.0788)`


`C=4.52^@`



`B=180-100-4.52`


`B=75.48^@`



`125/sin(100)=b/sin(75.48)`


`b=[125sin(75.48)]/sin(100)`


`b=122.87`

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