Answer:
B
Step-by-step explanation:
assuming you require problem 3
using the Sine Rule in Δ ABC and the exact values
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , sin30° = [tex]\frac{1}{2}[/tex]
[tex]\frac{AB}{sin45}[/tex] = [tex]\frac{BC}{sin30}[/tex] , that is
[tex]\frac{8}{sin45}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )
BC sin45° = 8 sin30°
BC × [tex]\frac{1}{\sqrt{2} }[/tex] = 8 × [tex]\frac{1}{2}[/tex] = 4 ( multiply both sides by [tex]\sqrt{2}[/tex] to clear the fraction )
BC = 4[tex]\sqrt{2}[/tex]
