Answer:
∅ = 50°
Step-by-step explanation:
YOU NEED A CALCULATOR TO SOLVE THIS!
You need to use Law of Sines
[tex]\frac{a}{sinA} =\frac{b}{sinB} = \frac{c}{sinC}[/tex]
Here you will be doing [tex]\frac{a}{sinA} =\frac{c}{sinC}[/tex]
a and c are the lengths, while A and C are the angles
[tex]\frac{3.46}{sinA} = \frac{2.54}{sin43}[/tex] you want to get the denominators out from underneath so multiply both sides by sinA and sin43
[tex]3.46sin43 = 2.54sinA[/tex]
Now you want to get sinA alone so divide both sides by 2.54
[tex]\frac{3.46sin43}{2.54} = sinA[/tex] now get A alone
[tex]sin^{-1} (\frac{3.46sin43}{2.54}) = A[/tex] put that into the calculator
[tex]49.61741033 = A[/tex]
