Question

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Answer 1

Answer:

$a = \sqrt{3}$

Step-by-step explanation:

$\frac{2 \sqrt{3} }{ \sin(90) } = \frac{a}{ \sin(30) } \\ \frac{2 \sqrt{3} }{1} = \frac{a}{ \frac{1}{2} } \\ a = \frac{1}{2} \times 2 \sqrt{3} \\ a = \sqrt{3}$

Answer 2

Answer:

$a=\sqrt{3}$

Step-by-step explanation:

We can use the 30 60 90 rule agan, where the sides are in the ratio of $1:2:\sqrt{3}$

Here, we know that $2\sqrt{3}$ is 2 parts.

We are finding a which is 1 part.

$2\sqrt{3} / 2 =\sqrt{3}$

Therefore, $a=\sqrt{3}$