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
35 mi
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To find the distance directly from Ferris to Butte, we need to use the Pythagorean theorem. The distance from Dunlap to Ferris is 15 miles, and the distance from Dunlap to Butte is 20 miles. The distance directly from Ferris to Butte can be found using the equation a^2 + b^2 = c^2, where a and b are the two shorter sides of the triangle and c is the hypotenuse (the distance directly from Ferris to Butte).
In this case, a = 15 miles and b = 20 miles. Plugging these values into the equation, we have:
15^2 + 20^2 = c^2
225 + 400 = c^2
625 = c^2
Taking the square root of both sides, we find that c = 25 miles.
Therefore, the distance directly from Ferris to Butte is 25 miles.
The correct answer is:
25 mi