Question

Gary leaves school to go home. He walks 8 blocks north and then 14 blocks east. If Gary could walk in a straight line to the school, what is the exact distance between Gary and the school?

Answer 1

The exact distance between Gary and the school is 2√65 blocks.

Step-by-step explanation:

To find the exact distance between Gary and the school, we can use the Pythagorean theorem. Gary walks 8 blocks north and 14 blocks east, forming a right triangle. The distance between Gary and the school is the hypotenuse of this triangle.

Using the Pythagorean theorem, we can calculate the distance as follows:

a² + b² = c²

(8 blocks north)² + (14 blocks east)² = c²

64 + 196 = c²

260 = c²

c = √260 = 2√65

Therefore, the exact distance between Gary and the school is 2√65 blocks.