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
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