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? (1 point)
8 m
42.7m
15 m
912.5 m
To find the straight line distance Jimmy could have jogged, we can use the Pythagorean theorem since we have a right triangle formed by his two jogging distances.
Using the formula a^2 + b^2 = c^2, where a = 40 meters (west jog) and b = 15 meters (north jog), we find c:
40^2 + 15^2 = c^2
1600 + 225 = c^2
1825 = c^2
c ≈ √1825
c ≈ 42.7 meters
Therefore, Jimmy could have jogged approximately 42.7 meters using a straight line distance. So, the answer is 42.7 m.