To find AB(x) and BC(y), you can do(there are multiple ways you can do this):
tan A = [tex]\frac{y}{7}[/tex]
tan 60° = [tex]\frac{y}{7}[/tex] or (tan 60°) · 7 = y
tan 60° = [tex]\frac{\frac{\sqrt{3} }{2} }{ \frac{1}{2} } = \sqrt{3}[/tex]
√3 · 7 = y
7√3 cm = y
sin B = [tex]\frac{7}{x}[/tex]
sin 30° = [tex]\frac{7}{x}[/tex] or [tex]x= \frac{7}{sin 30}[/tex]
sin 30° = [tex]\frac{\frac{1}{2} }{1}[/tex] = [tex]\frac{1}{2}[/tex]
x = [tex]\frac{7}{\frac{1}{2} } = 14[/tex]
x = 14 cm
AB = 14cm
BC = 7√3 cm
