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)
To find how many meters Jimmy could have jogged using a straight line distance, we can use the Pythagorean theorem as he ran 40 meters west (horizontal distance) and 15 meters north (vertical distance).
Let's consider the horizontal distance as the base of a right triangle and the vertical distance as the height. The straight line distance (hypotenuse) Jimmy could have jogged can be found using the formula:
c² = a² + b²
Where:
c = straight line distance
a = horizontal distance (40 meters)
b = vertical distance (15 meters)
c² = 40² + 15²
c² = 1600 + 225
c² = 1825
c ≈ √1825
c ≈ 42.74 meters
Therefore, Jimmy could have jogged approximately 42.74 meters using a straight line distance.