Question

Find the distance between the points (2, 55) and (32, 15)

Answer 1

The distance is 50 units

Step-by-step explanation:

The question is to find the distance between the points (2, 55) and (32, 15)

We use the formula:

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

Here,

`\begin{gathered} x_1=2 \\ y_1=55 \\ x_2=32 \\ y_2=15 \end{gathered}`

Using these, the distance is

`\begin{gathered} D=\sqrt[]{(32-2)^2+(15-55)^2} \\ =\sqrt[]{30^2+(-40)^2} \\ =\sqrt[]{900+1600} \\ =\sqrt[]{2500} \\ =50 \end{gathered}`

Therefore, the distance is 50 units