Question

Write your answer in simplest radical form​

Answer 1

Answer:

$s=6\sqrt{3}$

Step-by-step explanation:

In any 30-60-90 triangles, the sides are in ratio $x:x\sqrt{3}:2x$, 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 $12 \div 2=6$ miles. The final leg, $s$, must then represent the $x\sqrt{3}$ part of our ratio, hence $\implies \boxed{6\sqrt{3}}$