Answer:
The measure of the angle [tex]b[/tex] is approximately 44.040°.
Step-by-step explanation:
We need to apply Law of the Sine to determine the value of angle [tex]b[/tex], since the length of the side opposite to this side and another side length and its opposite angle are known. That is:
[tex]\frac{3.6}{\sin b} = \frac{5.1}{\sin 100^{\circ}}[/tex]
[tex]\sin b = \frac{3.6}{5.1}\times \sin 100^{\circ}[/tex]
[tex]b = \sin^{-1}\left(\frac{3.6}{5.1}\times \sin 100^{\circ} \right)[/tex]
[tex]b \approx 44.040^{\circ}[/tex]
The measure of the angle [tex]b[/tex] is approximately 44.040°.
