Answer:
[tex]\huge\boxed{\boxed{a=6}}[/tex]
Step-by-step explanation:
to understand this
you need to know about:
- trigonometry
- PEMDAS
- equation
tips and formulas:
- sin(30°)=½
- sin(x)=opp/hypo
let's solve:
[tex] step - 1 : define[/tex]
[tex] \sin( {30}^{o} ) = \frac{a}{12} [/tex]
[tex] step - 2 : solve[/tex]
- [tex] \tt substitute \: the \: value \: of \: \sin( {30}^{o} ) \\ \tt \frac{1}{2} = \frac{a}{12} [/tex]
- [tex] \tt cross \: multiplication : \\ \tt2a = 12 [/tex]
- [tex] \tt divide \: both \: sides \: by \: 2 : \\ \tt \frac{2a}{2} = \frac{12}{2} \\ \therefore a = 6[/tex]
