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. (3 points)
To find the straight-line distance Jimmy would have run if he had jogged directly to the point instead of running west then north, we can use the Pythagorean theorem as the distance is the hypotenuse of a right triangle formed by the two legs corresponding to the distances Jimmy ran west and north.
Let x be the straight-line distance:
x^2 = 20^2 + 25^2
x^2 = 400 + 625
x^2 = 1025
x = √1025
x ≈ 32 meters
Therefore, if Jimmy had jogged in a straight line, he would have run approximately 32 meters.