The distance directly from Ferris to Butte is 25mi.
Given that,
Distance between Freeis to Duniap is = 15mi
And distance between Duniap and Butte = 20mi
We have to find,
The distance directly from Ferris to Butte.
According to the question,
Pythagorean theorem; The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation,
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where a = 15, b = 20
Then,
[tex]= a^{2} +b^{2}= c^{2} \\= (15)^{2} + (20)^{2} = c^{2} \\= c^{2} = 225 +400\\= c^{2} = 625\\= c = 25[/tex]
Now, To find Wayne's distance = 15 + 20 - 25 = 10mi
Hence, The distance directly from Ferris to Butte is 25mi.
For more information about Pythagoras Theorem click the link given below.
https://brainly.com/question/10174253
