`A = 76^@, a = 18, b = 20` Use the law of sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answer to two decimal places.

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mathace eNotes educator| Certified Educator

Given: `A=76^@, a=18, b=20`

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

`18/sin(76)=20/sin(B)=c/sin(C)`

 

`18/sin(76)=20/sin(B)`

`sin(B)=[20sin(76)]/18`

`sin(B)=1.0781`

`B=arcsin(1.0781)`

Angle B does not exist. A triangle cannot be formed using the given information.