(Distance)2 = (6)2 + (8)2 = 36 + 64 = 100
Distance = sqrt(100) = 10 miles
To be honest about it, this is only an approximation. The formula used here is only valid
on a flat surface, and we all know that the earth is a spherical surface.
Even worse than that ... the formula is only valid if the two directions are perpendicular (90°)
to each other. But north and east are only perpendicular at the equator; the farther you are
from the equator, the less perpendicular they are.
To show you how bad it can get: If you start at the north pole, go 6 miles south,
and then go 8 miles east, you wind up only 6 miles from where you started.
In order to answer this question accurately, you have to know exactly where on earth
the marathon runner started from, and then you have to use spherical trigonometry.
I'm sure you'll be happy that I'm not going to do that. It's valid because we don't know
where he started from.
We'll just say: The answer is "approximately 10 miles", and the closer our runner is
to the equator, the more accurate this answer is.
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.
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.
25 miles
This is where you apply the pythagorean theorem: d = √(152 + 202) ∴d = √(225 + 400) ∴d = √(625) ∴d = 25 So the boat is 15 miles from it's starting point
So this uses pythagoras theorem. x = sqrt15 + sqrt 7. So he was 16.55 miles from starting point
14 miles on the route he took. 10 miles if you mean in a straight line.
17 blocks
monday,april 21st,2008 in hoptikin
If you constantly run on a treadmill and practice, running six miles is a good starting point to being able to run a 5k marathon.
The distance between the above places is approximately equal to 4687 nautical miles. To convert miles to nautical miles, multiply the miles by 0.86. This is point to point straight distance. The actual distance will change according to the route.
75 miles approximately depending on your starting point
That depends what your starting point is.
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.
The distance between the above places is approximately equal to 207 nautical miles. To convert miles to nautical miles, multiply the miles by 0.86. This is point to point straight distance. The actual distance will change according to the route.
That would depend on your starting point.
13 miles
Probably safe to say mid-point. When it's as far to go back to your start point as to go on to your end point. I would point out that the "no return" part does not imply the mid-point. It is the point when it is no longer possible to return to your starting point safely. If I am flying 150 miles away and have enough fuel to travel 200 miles (and some reserve for safety) then the point of no return is 100 miles out, not 75 miles. It is the point when I can no longer return to my starting point safely and must continue on to the end point.