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)

Question

8 m

15 m

42.7m

912.5 m

Answer 1

42.7 m

To find the straight line distance, we can use the Pythagorean theorem, which states that a^2 + b^2 = c^2 for a right triangle.

Let a = 40 m (distance west) and b = 15 m (distance north). Then, we can find c (the straight line distance) using:

c^2 = 40^2 + 15^2
c^2 = 1600 + 225
c^2 = 1825
c = sqrt(1825)
c ≈ 42.7 m

Therefore, Jimmy could have jogged approximately 42.7 meters using a straight line distance.