If she started from the south pole, then she'll wind up 4 miles from her starting point
after this series of maneuvers.
If she started on or near the equator, then the final distance is roughly 6.4 miles.
Mary's path forms a right triangle, with one leg measuring 4 miles (north) and the other leg measuring 5 miles (west). To find the distance from her starting point, we can use the Pythagorean theorem: ( c = \sqrt{a^2 + b^2} ), where ( a = 4 ) miles and ( b = 5 ) miles. Thus, ( c = \sqrt{4^2 + 5^2} = \sqrt{16 + 25} = \sqrt{41} ). Therefore, Mary is approximately 6.4 miles from her original starting point.
Displacement is the shortest straight-line distance from the starting point to the ending point, along with the direction. If you move 1 mile northeast and then 1 mile south, your final position will be approximately 0.5 miles east and 0.5 miles north of your original starting point. Thus, the overall displacement can be calculated using the Pythagorean theorem, resulting in a displacement of about 1.41 miles at an angle of 45 degrees north of east.
The obvious answer is 5 miles. The not-so-obvious part is it depends on where he is when he starts. If he is on the equator, he is five miles from his point of origin. If his starting point was the south pole, and he drives five miles north, then west, then south, he will arrive back at his starting point. Before you disagree, consider that he is driving on a sphere not a flat plain.
25 miles
You can start near the South Pole - 3 miles North of any point on a latitude that encircles the earth an integer number of times in 3 miles; or you can start at the North Pole.
13 miles
Displacement is the shortest straight-line distance from the starting point to the ending point, along with the direction. If you move 1 mile northeast and then 1 mile south, your final position will be approximately 0.5 miles east and 0.5 miles north of your original starting point. Thus, the overall displacement can be calculated using the Pythagorean theorem, resulting in a displacement of about 1.41 miles at an angle of 45 degrees north of east.
The obvious answer is 5 miles. The not-so-obvious part is it depends on where he is when he starts. If he is on the equator, he is five miles from his point of origin. If his starting point was the south pole, and he drives five miles north, then west, then south, he will arrive back at his starting point. Before you disagree, consider that he is driving on a sphere not a flat plain.
25 miles
hm
exacly 25
25 miles
You can start near the South Pole - 3 miles North of any point on a latitude that encircles the earth an integer number of times in 3 miles; or you can start at the North Pole.
25 miles.
25
So this uses pythagoras theorem. x = sqrt15 + sqrt 7. So he was 16.55 miles from starting point
Dead