Respuesta :
It has no solutions.
Using the Law of Sines, we set up:
[tex]\frac{\sin{A}}{a}=\frac{\sin{B}}{b} \\ \\\frac{\sin{112}}{4}=\frac{\sin{B}}{9}[/tex]
Cross multiplying, we have:
9 sin 112 = 4 sin B
Divide both sides by 4:
[tex]\frac{9\sin{112}}{4}=\frac{4\sin{B}}{4} \\ \\\frac{9\sin{112}}{4}=\sin{B} \\ \\2.086 = \sin{B}[/tex]
Since sine runs from -1 to 1, we know that there is no angle with a sine greater than 1. This means there is no solution.
Using the Law of Sines, we set up:
[tex]\frac{\sin{A}}{a}=\frac{\sin{B}}{b} \\ \\\frac{\sin{112}}{4}=\frac{\sin{B}}{9}[/tex]
Cross multiplying, we have:
9 sin 112 = 4 sin B
Divide both sides by 4:
[tex]\frac{9\sin{112}}{4}=\frac{4\sin{B}}{4} \\ \\\frac{9\sin{112}}{4}=\sin{B} \\ \\2.086 = \sin{B}[/tex]
Since sine runs from -1 to 1, we know that there is no angle with a sine greater than 1. This means there is no solution.
