Question

Write your answer in simplest radical form​

Answer 1

`s=6√(3)`

Explanation:

In any 30-60-90 triangles, the sides are in ratio
`x:x√(3):2x`, where
`x` is the side opposite to the 30 degree angle and
`2x` is the hypotenuse of the triangle.

In the given diagram, the hypotenuse is marked as 12 miles. Therefore, the side opposite to the 30 degree angle must be
`12 / 2=6` miles. The final leg,
`s`, must then represent the
`x√(3)` part of our ratio, hence
`\implies \boxed{6√(3)}`