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will give medal to best answer! The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. C = 38°, a = 19, c = 10

Mathematics
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Did you try simply using Law of Sines to figure it out?
yes but i didnt understand
What did you come up with?

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i got sin A = 67 but that isnt in my answer choices No triangle is formed. A = 58.6°, B = 83.4°, b ≈ 15.6 A = 83.4°, B = 58.6°, b ≈ 15.6 The triangle cannot be solved with the Law of Sines.
I don't understand how you got that. Please show me the steps you took to get A = 67
i used c/ sin c = a/ sin a 10/sin 37 = 19/sin a and then i divided 19 sin 38 over sin 10 and i got 67.36
where did you get the 37 from?
I meant 38, i used 38 in my claculations and still got 67
calculations
Are you in degree mode or radian mode?
i dont know i just typed it in and got 67, cant you check it?
You must make sure you're in degree mode. That's very important.
But either way it goes, you're not doing it correctly.
oh really, i hadnt noticed that im doing it wrong. I need help thats why im on here obviously
\[\sin A = \frac{19\sin(38^{\circ})}{10} \\\sin A = \]
Compute the right hand side again and let me know what you get. Make sure you're in degree mode.
1.169756803
Okay now \[\sin A = 1.169756803\] So how do we find A?
a is 19, sin A is 1.16, what do you mean find A?
A is an angle. Find it
A is an Angle like theta
I'm not talking about a = 19. That's a side length
\[\sin (A^{\circ}) = 1.169756803\] I'm talking about Angle A. Find that.
how?
You take the inverse sine of both sides to get: \[\sin^{-1}(A^{\circ}) = \sin^{-1}({1.169756803}) \\A^{\circ} = \sin^{-1}({1.169756803}) \]
So compute \[\sin^{-1}({1.169756803})\]
Let me know what you get.
it says error
Exactly.
That's what it should say because no such angle exists.
And if the angle doesn't exist, then the triangle can't possibly exist.
\[-1< \sin(\theta) < 1\] means that the value of sine can only be between - or + one. So there's no such thing as \(\sin(\theta) = 1.17\)

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