Question

A navy officer has two ships on his radar. On a coordinate grid that is labeled in miles, the ships are located at (12,42) and (12,−26). How far apart are the two ships?

Answer 1

The ships are located at (12,42) and (12,−26).

To find the distance between them, use the distance formula:

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

Take (12,42) as (x1,y1) and (12,-26) as (x2,y2)

$distance = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2}} \\ \\ = \sqrt{ {(12 - 12)}^{2} + {( - 26 - 42)}^{2} } \\ \\ = \sqrt{ {0}^{2} + {( - 68)}^{2} } \\ \\ = \sqrt{ {68}^{2} } \\ \\ = 68$

Distance between the ships is 68 miles.

Answer 2

Answer is down Below

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