Question
Jimmy ran 40 meters west from home and then turned north to jog 15 meters. Jimmy ran 55 meters, but could have arrived at the same point by jogging in a straight line. How many meters could he have jogged using a straight line distance?
so where does the 55 comes in to play
so where does the 55 comes in to play
Answers
GPT 3.5
The 55 meters comes from the Pythagorean theorem, as Jimmy's path forms a right triangle. The distance he ran west forms one leg of the triangle (40 meters), and the distance he jogged north forms the other leg of the triangle (15 meters). By using the Pythagorean theorem, we can calculate the hypotenuse of the right triangle, which represents the straight line distance Jimmy could have jogged.
So, using the Pythagorean theorem:
(40^2 + 15^2) = c^2
(1600 + 225) = c^2
1825 = c^2
c = √1825
c ≈ 42.77
Therefore, Jimmy could have jogged approximately 42.77 meters using a straight line distance.
So, using the Pythagorean theorem:
(40^2 + 15^2) = c^2
(1600 + 225) = c^2
1825 = c^2
c = √1825
c ≈ 42.77
Therefore, Jimmy could have jogged approximately 42.77 meters using a straight line distance.