An amusement park has three roller coasters, the “Falcon Flyer” placed at (50, 300), the “Sprinter” placed at (400, 550), and the “Air Rider” placed at (800, 250). All measurements are in meters. You are at a point half way between the “Falcon Flyer” and the “Sprinter”, see a long line, and decide to take a shortcut to the “Air Rider”. How far will you walk on this shortcut if it follows a straight path? Round your answer to the nearest meter._
An amusement park has three roller coasters, the “Falcon Flyer” placed at (50, 300), the “Sprinter” placed at (400, 550), and the “Air Rider” placed at (800, 250). All measurements are in meters. You are at a point half way between the “Falcon Flyer” and the “Sprinter”, see a long line, and decide to take a shortcut to the “Air Rider”. How far will you walk on this shortcut if it follows a straight path? Round your answer to the nearest meter
The midpoint between the Falcon Flyer and the Sprinter is given by taking the average of their x- and y-coordinates:
Midpoint = ((50+400)/2, (300+550)/2) = (225, 425)
To find the distance between the midpoint and the Air Rider, we can use the distance formula:
d = sqrt((800-225)^2 + (250-425)^2)
= sqrt(575^2 + (-175)^2)
= 602.59 meters
Rounding to the nearest meter, the distance of the shortcut is 603 meters.