(7,-3) (-1,9) Find the midpoint
1 answer:
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Answer:
The new coordinates are 5S and 125E
Explanation:
Addition of latitudes:
If they are in the same direction, you just have to add the values.
For example, 5N + 10N = 15N.
You have to be careful that we don't have any latitude higher than 90. So, if the result of your sum is higher than 90, we subtract 180 by the result, and the position is in the other hemisphere.
For example
60N + 40N = 100N
100N is larger than 90, so not possible
Subtracting and changing hemisphere
180 - 100N = 80S
When they are in opposite directions, you can just say that one hemisphere is the positive one, and the other is the negative.
In this problem, i am going to say that the North hemisphere is the positive one and the South the negative.
So, currently at 35N moving 40S. The new position is
Since the result is negative, this just means that we are in the Southern Hemisphere, so 5S
Adittion of Longitudes:
They work just like the latitudes, the difference is that we don't have any longitude higher than 180. So, if we have a result higher than 180, we subtract 360 by this value and change the hemisphere.
In this problem.
175W + 60W = 235, higher than 180, so:
360 - 235 = 125E