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?
To find the straight line distance Jimmy could have jogged, we can use the Pythagorean theorem because his route forms a right triangle.
Let x be the distance he could have jogged in a straight line.
Using the Pythagorean theorem, we have:
(40)^2 + (15)^2 = x^2
1600 + 225 = x^2
1825 = x^2
x = √1825
x ≈ 42.73 meters
Therefore, Jimmy could have jogged approximately 42.73 meters using a straight line distance.