Answer:
8 miles
Step-by-step explanation:
Newberg, the airport and Hampton lie on the vertices of a right triangle with the right angle being formed by Airport-Newberg as the vertical arm and Airport-Hampton being the horizontal arm. Newberg-Hampton forms the hypotenuse
Let's label Newberg as N, Airport as A, Hampton as H
NAH forms a right triangle with A being the right angle
We are given NA = 15 and NH = 17
Using the Pythagorean Theorem
[tex]NA^2 + AH^2 = NH^2\\\\[/tex]
Plugging in knowns,
[tex]15^2 + AH^2 = 17^2\\\\AH^2 = 17^2 - 15^2\\\\= 289 - 225\\= 64\\\\AH = \sqrt{64} = 8\\[/tex]
So the distance from airport to Hampton is 8 miles
