Answer:
a = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Since the triangle is right use the tangent ratio to find a, that is
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex]
Multiply both sides by 12
12 × tan30° = a
12 × [tex]\frac{1}{\sqrt{3} }[/tex] = a
Rationalise the denominator on the left side by multiplying the numerator/ denominator by [tex]\sqrt{3}[/tex]
12 × [tex]\frac{\sqrt{3} }{3}[/tex] = a ( cancel the 12 and 3 )
a = 4[tex]\sqrt{3}[/tex]
