Answer:
s = 8 mi
Explanation:
We know that the ratio of side lengths of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
x : x√3 : 2x
We can apply this information to the given triangle. We know that the length of the short leg is 4 mi. This can be substituted for x:
x = 4 mi
We are trying to solve for s, which is the triangle's hypotenuse. So, we can apply the ratio to x.
s = 2x = 2(4 mi) = 8 mi