Answer:
[tex]\boxed{\text{2. 4.7 units}}[/tex]
Step-by-step explanation:
Assume your triangle has the dimensions shown below.
Before we can use the Law of Sines, we must find ∠C.
1. Calculate ∠C
[tex]\begin{array}{rcl}A + B + C & = & 180^{\circ}\\66^{\circ} + 76^{\circ} + C & = & 180^{\circ}\\142^{\circ} + C & = & 180^{\circ}\\C & = & 38\, ^{\circ}\\\end{array}[/tex]
2. Calculate b
Use the Law of Sines
[tex]\begin{array}{rcl}\dfrac{b}{\sin B } & = & \dfrac{c}{\sin C}\\\\\dfrac{b}{\sin 76^{\circ}} & = & \dfrac{3}{\sin 38^{\circ}}\\\\\dfrac{b}{0.9703} & = & \dfrac{3}{0.6157}\\\\ & = & 4.873\\b & = & 0.9703\times 4.873\\& = & \boxed{\mathbf{4.7}}\\\end{array}[/tex]
