Question

Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.

East=X, West=-X, North=Y, South=-Y

Answer 1

In order to find the missing number use the Pythagorean theorem which is used to find a missing length of a right triangle. The formula is a 2 + b 2 = c 2, where a and b are the legs of the triangle, and c is the hypotenuse. So the answer would be 22squared plus 27squared which will equal....

Answer 2

Answer:3.623 miles

Explanation:

Given

School is 20 blocks east and 12 blocks south

and mall is 10 blocks north and 7 block west.

There is a road directly connecting the school and the mall.

So distance between school and the mall is

`=√((20+12)^2+(10+7)^2)`

`=√(32^2+17^2)`

`=√(1024+289)`

=36.23 blocks

And 1 block is 0.1 mile so 36.23 blocks is 3.623 miles