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

Responses

912.5 m

15 m

42.7m

8 m

Answer 1

42.7m

To find this distance, we can use the Pythagorean theorem.

The distance Jimmy ran west is the base of a right triangle, and the distance he ran north is the height of the triangle.

Using the Pythagorean theorem (a^2 + b^2 = c^2), where a = 40m and b = 15m:

40^2 + 15^2 = c^2
1600 + 225 = c^2
1825 = c^2
√1825 ≈ 42.7m

So, Jimmy could have arrived at the same point by jogging approximately 42.7 meters using a straight line.