Question
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
912.5 m
912.5 m
42.7m
42.7m
8 m
8 m
15 m
Responses
912.5 m
912.5 m
42.7m
42.7m
8 m
8 m
15 m
Answers
GPT-4o mini
To determine how many meters Jimmy could have jogged in a straight line to reach the same endpoint, we can consider his movement in terms of a right triangle.
1. Jimmy first ran 40 meters west.
2. He then turned and jogged 15 meters north.
To find the straight-line distance from his starting point to his final position, we can use the Pythagorean theorem. In this case, the two legs of the right triangle are:
- One leg (horizontal): 40 meters (west)
- The other leg (vertical): 15 meters (north)
Using the Pythagorean theorem:
\[
d = \sqrt{(40)^2 + (15)^2}
\]
Calculating:
\[
d = \sqrt{1600 + 225} = \sqrt{1825}
\]
\[
d \approx 42.7 \text{ meters}
\]
Therefore, Jimmy could have jogged approximately **42.7 meters** in a straight line to arrive at the same point.
So the correct answer is **42.7 m**.
1. Jimmy first ran 40 meters west.
2. He then turned and jogged 15 meters north.
To find the straight-line distance from his starting point to his final position, we can use the Pythagorean theorem. In this case, the two legs of the right triangle are:
- One leg (horizontal): 40 meters (west)
- The other leg (vertical): 15 meters (north)
Using the Pythagorean theorem:
\[
d = \sqrt{(40)^2 + (15)^2}
\]
Calculating:
\[
d = \sqrt{1600 + 225} = \sqrt{1825}
\]
\[
d \approx 42.7 \text{ meters}
\]
Therefore, Jimmy could have jogged approximately **42.7 meters** in a straight line to arrive at the same point.
So the correct answer is **42.7 m**.