Question
What is the distance from the restroom (0,-2) to the wave pool (6,3). Round your answer to the nearest whole yard
Answers
GPT-4o mini
To find the distance between the restroom at coordinates (0, -2) and the wave pool at coordinates (6, 3), you can use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Here, \((x_1, y_1) = (0, -2)\) and \((x_2, y_2) = (6, 3)\).
Plugging in the coordinates:
\[
d = \sqrt{(6 - 0)^2 + (3 - (-2))^2}
\]
\[
d = \sqrt{(6)^2 + (3 + 2)^2}
\]
\[
d = \sqrt{36 + 25}
\]
\[
d = \sqrt{61}
\]
\[
d \approx 7.81
\]
Rounding to the nearest whole yard, the distance is approximately **8 yards**.
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Here, \((x_1, y_1) = (0, -2)\) and \((x_2, y_2) = (6, 3)\).
Plugging in the coordinates:
\[
d = \sqrt{(6 - 0)^2 + (3 - (-2))^2}
\]
\[
d = \sqrt{(6)^2 + (3 + 2)^2}
\]
\[
d = \sqrt{36 + 25}
\]
\[
d = \sqrt{61}
\]
\[
d \approx 7.81
\]
Rounding to the nearest whole yard, the distance is approximately **8 yards**.