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.

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.

Answer 1

3.5 miles

Explanation:

The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.

d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks

Since each block is 0.1 miles, the distance in miles is ...

distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles

Rounded to tenths, the distance from school to mall is 3.5 miles.