Question

The post office is located at ( − 20 , 22 ) , the library is located at ( − 12 , 22 ) , and the bank is located at ( − 20 , 18 ) . The three locations form a triangle. If 1 unit on the coordinate plane represents 1 mile, what is the distance from the post office to the library?

Answer 1

The distance between the post office and the library is 8 units

Step-by-step explanation:

Given

`P = (-20,22)` --- Post office

`L = (-12,22)` --- Library

`B = (-20,18)` ---- Bank

Required

The distance between the P and L

To do this, we simply calculate the distance between P and L using the distance formula;

`d =√((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Where:

`P = (-20,22)` ---
`(x_1,y_1)`

`L = (-12,22)` ---
`(x_2,y_2)`

So, we have:

`d =√((-12 - -20)^2 + (22 - 22)^2)`

`d =√((8)^2 + 0^2)`

`d =√(64 + 0)`

`d =√(64)`

`d =8`

The required distance is 8 units