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)
Responses
a. 912.5 m
b. 8 m
c. 42.7m
d. 15 m
b. 8 m
Explanation: This can be solved using the Pythagorean theorem.
The distance traveled running west is 40 meters, and the distance traveled running north is 15 meters. This forms a right triangle.
40^2 + 15^2 = x^2
1600 + 225 = x^2
1825 = x^2
x ≈ 42.71 m
So, the straight line distance that Jimmy could have jogged is approximately 42.7 meters.