jimmy ran 40 meters west from home and then turned hroth 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 would he have jogged using a straight line distance?
a:15m
b:42.7m
c:8m
d:912.5m
To find the straight line distance Jimmy would have jogged, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the two sides of the right triangle are the 40 meters Jimmy ran west and the 15 meters Jimmy jogged north. The straight line distance he would have jogged is the hypotenuse.
Using the Pythagorean theorem:
Hypotenuse^2 = 40^2 + 15^2
Hypotenuse^2 = 1600 + 225
Hypotenuse^2 = 1825
Hypotenuse = √1825
Hypotenuse ≈ 42.7 meters
Therefore, Jimmy would have jogged approximately 42.7 meters using a straight line distance.
Answer: b: 42.7m
are you sure?
Let's double-check the calculation:
Hypotenuse^2 = 40^2 + 15^2
Hypotenuse^2 = 1600 + 225
Hypotenuse^2 = 1825
Hypotenuse = √1825
Hypotenuse ≈ 42.73 meters
After recalculating, it appears that the straight line distance Jimmy would have jogged is actually approximately 42.73 meters (rounded to two decimal places).
Therefore, the correct answer is:
b: 42.7m