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?

Answers

Answer 1

Answer:

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

Explanation:

Given

[tex]P = (-20,22)[/tex] --- Post office

[tex]L = (-12,22)[/tex] --- Library

[tex]B = (-20,18)[/tex] ---- 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;

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

Where:

[tex]P = (-20,22)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]L = (-12,22)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]d =\sqrt{(-12 - -20)^2 + (22 - 22)^2}[/tex]

[tex]d =\sqrt{(8)^2 + 0^2}[/tex]

[tex]d =\sqrt{64 + 0}[/tex]

[tex]d =\sqrt{64}[/tex]

[tex]d =8[/tex]

The required distance is 8 units


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