jimmy ran 20 meters west from home and then turned north to jog 25 meters. Jimmy ran 45 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 that Jimmy could have jogged, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the distance Jimmy ran west (20 meters) and north (25 meters) form the sides of a right triangle. Let's call the straight line distance that Jimmy could have jogged x meters.
So, according to the Pythagorean theorem:
20^2 + 25^2 = x^2
400 + 625 = x^2
1025 = x^2
x = sqrt(1025)
x is approximately equal to 32 meters
Therefore, Jimmy could have jogged 32 meters using a straight line distance.