Question

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 Trolley Train and the Silly Slide.

25 units
7 units
5 units
3 units

Answer 1

Explanation:

To determine the distance between the Trolley Train at (-2, -6) and the Silly Slide at (2, -3), you can use the distance formula:

\[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Substitute the coordinates:

\[ \text{Distance} = \sqrt{(2 - (-2))^2 + ((-3) - (-6))^2} \]

Simplify:

\[ \text{Distance} = \sqrt{4^2 + 3^2} \]

\[ \text{Distance} = \sqrt{16 + 9} \]

\[ \text{Distance} = \sqrt{25} \]

\[ \text{Distance} = 5 \text{ units} \]

So, the distance between the Trolley Train and the Silly Slide is 5 units. Therefore, the correct answer is 5 units.