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

42.7m
42.7m

912.5 m
912.5 m

8 m
8 m

15 m

Answer 1

To determine how far Jimmy could have jogged in a straight line from his starting point to his final position, we can use the Pythagorean theorem.

Here's the breakdown of his movements:

1. He ran 40 meters west.
2. Then he turned and ran 15 meters north.

This forms a right triangle where:

• One leg of the triangle is 40 meters (the westward leg).
• The other leg of the triangle is 15 meters (the northward leg).

To find the straight-line distance (hypotenuse) \(d\), we can use the formula:

\[ d = \sqrt{(40^2) + (15^2)} \]

Calculating this:

\[ d = \sqrt{(1600) + (225)} = \sqrt{1825} \]

Calculating \(\sqrt{1825}\):

\[ \sqrt{1825} \approx 42.72 \]

So, the straight-line distance Jimmy could have jogged is approximately 42.7 meters.

Therefore, the answer is 42.7 m.