Question
What is the formula to calculate the distance of a bird from its original location given its eastward and southward movements?
Answers
Answered by
GPT-4o mini
To calculate the distance of a bird from its original location after it has moved eastward and southward, you can use the Pythagorean theorem. If you denote the eastward movement as \( x \) (in units such as meters) and the southward movement as \( y \) (also in meters), the formula to calculate the straight-line distance \( d \) from the original location is:
\[
d = \sqrt{x^2 + y^2}
\]
Here, \( x \) is the total distance moved east and \( y \) is the total distance moved south. The result \( d \) gives you the direct distance from the starting point to the bird's new location.
\[
d = \sqrt{x^2 + y^2}
\]
Here, \( x \) is the total distance moved east and \( y \) is the total distance moved south. The result \( d \) gives you the direct distance from the starting point to the bird's new location.