Question

A surveyor is studying a map of the community and is using vectors to determine the distance between two schools. On the map, the surveyor determined that school A is at (7, 12), and school B is at (–21, –13). The scale of the map is 1 unit = 100 meters.
Which vector represents the path from school A to school B, and what is the actual distance between them?

A. components: actual distance: about 37.54 meters

B. components: , actual distance: about 3,754 meters

C. components: , actual distance: about 37.54 meters

D. components: , actual distance: about 3,754 meters

Answer 1

Answer:

The answer is C

Step-by-step explanation:

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Answer 2

Answer:

Option C

Step-by-step explanation:

From the question we are told that

Co-ordinate of school A =(7,12)

Co-ordinate of school B =(-21,-13)

Generally the sum of the vector is mathematically represented

$(A+B)=(-21-7,-13-12)$

$(A+B)=(-28,-25)$

Generally the actual distance between the schools is mathematically given as

$d=\sqrt{-28^2+-25^2}$

$d=\sqrt{1409}$

$d=37.5366 \approx 37.537m$