A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.

coordinate plane with points at negative 14 comma 1 labeled Woozy Wheel, negative 6 comma 2 labeled Bumper Boats, negative 2 comma negative 4 labeled Roller Rail, negative 2 comma negative 6 labeled Trolley Train, 2 comma negative 3 labeled Silly Slide, and 6 comma 11 labeled Parachute Plunge

Determine the distance between the Woozy Wheel and the Roller Rail.

a) 119 units

b) 11 units

c) 169 units

d) 13 units

1 answer

To find the distance between two points on a coordinate plane, we can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using the given points (-14, 1) for Woozy Wheel and (-2, -4) for Roller Rail, we can plug the values into the distance formula:

Distance = √((-2 - (-14))^2 + (-4 - 1)^2)
= √((-2 + 14)^2 + (-4 - 1)^2)
= √(12^2 + (-5)^2)
= √(144 + 25)
= √169
= 13

Therefore, the distance between Woozy Wheel and Roller Rail is 13 units.

Answer: d) 13 units