Question

Find the distance between the points (0,0) and (36,15).

Answer 1

To find the distance between the points \((0,0)\) and \((36,15)\), we can use the distance formula:

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

Here, \((x_1, y_1) = (0, 0)\) and \((x_2, y_2) = (36, 15)\).

Substituting the coordinates into the formula gives:

\[
d = \sqrt{(36 - 0)^2 + (15 - 0)^2}
\]
\[
d = \sqrt{36^2 + 15^2}
\]

Calculating \(36^2\) and \(15^2\):

\[
36^2 = 1296
\]
\[
15^2 = 225
\]

Adding these values together:

\[
1296 + 225 = 1521
\]

Now, taking the square root:

\[
d = \sqrt{1521} = 39
\]

Thus, the distance between the points \((0,0)\) and \((36,15)\) is \(\boxed{39}\).