Use the image to answer the question.
A coordinate plane shows the x and y axes ranging from negative 6 to 6 in unit increments. Four points are plotted and labeled on the plane. The coordinates of the plotted points and the labels are as follows: left parenthesis 1 comma 2 right parenthesis is labeled as hurdle, left parenthesis 5 comma 2 right parenthesis as long jump, left parenthesis 5 comma 5 right parenthesis as pole vault, and left parenthesis 2 comma 5 right parenthesis as high jump.
The following coordinates represent the location of different events at an upcoming track meet. Based on the coordinate plane, how far is the pole vault from the long jump?
(1 point)
Responses
3 units
3 units
7 units
7 units
4 units
4 units
2.5 units
2.5 units
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The pole vault is located at (5,5) and the long jump is located at (5,2). By calculating the distance between these two points using the distance formula (d = √((x2-x1)^2 + (y2-y1)^2)), we get:
d = √((5-5)^2 + (5-2)^2)
d = √(0^2 + 3^2)
d = √(0 + 9)
d = √9
d = 3
Therefore, the pole vault is 3 units away from the long jump.