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

Answer:

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

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;

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

Where:

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

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

So, we have:

$d =\sqrt{(-12 - -20)^2 + (22 - 22)^2}$

$d =\sqrt{(8)^2 + 0^2}$

$d =\sqrt{64 + 0}$

$d =\sqrt{64}$

$d =8$

The required distance is 8 units