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
○ 15 m
42.7m
○ 912.5 m
To find the straight-line distance 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.
Let's use the 40 meters west as Side A, and the 15 meters north as Side B. We want to find Side C, the straight-line distance.
Side A = 40 meters
Side B = 15 meters
Using the Pythagorean theorem:
C^2 = A^2 + B^2
C^2 = 40^2 + 15^2
C^2 = 1600 + 225
C^2 = 1825
Taking the square root of both sides to solve for C:
C = √1825
C ≈ 42.7 meters
Therefore, Jimmy could have jogged approximately 42.7 meters using a straight-line distance.