Question

Craig walked 14 blocks south and 10 blocks west. What distance would he have walked if he cut across the diagonal?

A) 14 blocks
B) 20 blocks
C) 24 blocks
D) 28 blocks

Answer 1

The distance he would have walked if he cut across the diagonal is approximately 17.2 blocks.

Step-by-step explanation:

To find the straight-line distance, we can use the Pythagorean theorem. The 14 blocks south and 10 blocks west form the legs of a right triangle, with the diagonal being the hypotenuse. The straight-line distance can be found using the formula D = sqrt(a^2 + b^2), where a and b are the lengths of the legs.

Using the formula, D = sqrt(14^2 + 10^2) = sqrt(196 + 100) = sqrt(296) = 17.2

Therefore, the distance he would have walked if he cut across the diagonal is approximately 17.2 blocks.