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 $\boxed{{\displaystyle 39}}$.