Question

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

Answer 1

Answer: 601 meters

Explanation:

First, let's find the midpoint between the "Falcon Flyer" and the "Sprinter".

The x-coordinate of the midpoint is (50 + 400)/2 = 225.

The y-coordinate of the midpoint is (300 + 550)/2 = 425.

So the midpoint is (225, 425).

Now we need to find the distance between the midpoint and the "Air Rider". Using the distance formula:

d = sqrt[(800 - 225)^2 + (250 - 425)^2]

d = sqrt[(575)^2 + (-175)^2]

d = sqrt[330625 + 30625]

d = sqrt(361250)

d ≈ 601.041

So the distance you will walk on this shortcut is approximately 601 meters.