Ti 83 Plus question?

Question

Gotsa Question. Triangle non-right, A= 29.5, a =78.7, c=42.2
Solve for Sin
I multiply 29.5 times 42.2 / 78.7 =15.81829733 = sin
Don't I then inverse sin-1 that number to get
When I got to figure out for B I get 135.19 and b= 363.1212628... is that right... Thanks Britt

Answer 1

Since you have SSA, you need to use the law of sines.
So sin29.5/78.7 = sin C/42,2.
Cross multiply and get sin C(78.7) = sin 29.5(42.2)
Then divided each side of the equation by 78.8
You get the sin of C = .264044.
The inverse sin key of that decimal = 15.3 degrees.
Because SSA is sometimes ambiguous, I subtracted 15.3 from 180 to get an alternative answer for that angle. I got 164. 7, which will not work in that triangle.
So you did a very good job and pat yourself on the back.

Answer 2

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