Multiple Choice
Wayne used this diagram to compute the distance from Ferris, to Dunlap, to Butte. How far is the distance directly from Ferris to Butte?
A right triangle is drawn to represent distances between three 3 locations. The right angle is located at Dunlap. The distance from Dunlap to Ferris is 15 miles. The distance from Dunlap to Butte is 20 miles.
(1 point)
Responses
20 mi
20 mi
25 mi
25 mi
10 mi
10 mi
35 mi
To compute the distance directly from Ferris to Butte, we can use the Pythagorean theorem. According to the diagram, Dunlap is located at the right angle of a right triangle. The distance from Dunlap to Ferris is given as 15 miles, and the distance from Dunlap to Butte is given as 20 miles.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse represents the distance directly from Ferris to Butte.
So, let's calculate the distance:
Ferris to Butte = √(Ferris to Dunlap)^2 + (Dunlap to Butte)^2
= √(15^2 + 20^2)
= √(225 + 400)
= √625
= 25 miles
Therefore, the distance directly from Ferris to Butte is 25 miles.
The correct answer is:
25 mi