Final answer:
To find the distance between Ashland and the airport, we can use the Pythagorean theorem. By creating a right triangle with the given distances, we can solve for the missing side, which represents the distance between Ashland and the airport. The distance is approximately 18 kilometers.
Step-by-step explanation:
To determine the distance of Ashland from the airport, we will use the concept of right triangles and the Pythagorean theorem.
Since Silvergrove is 24 kilometers due north of the airport and the distance between Silvergrove and Ashland is 30 kilometers, we can create a right triangle with the sides representing the distances.
The hypotenuse of this triangle represents the distance between Ashland and the airport. Using the Pythagorean theorem, we can find this distance.
Let's label the distance between Ashland and the airport as x kilometers. According to the Pythagorean theorem, the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Therefore, we have:
24^2 + x^2 = 30^2
576 + x^2 = 900
x^2 = 900 - 576
x^2 = 324
x = √324
x = 18
So, Ashland is approximately 18 kilometers from the airport.