# If you begin at 20 degrees 47'36" south and 168 degrees 23'46" west, and go 50 degrees north and 50 degrees west of there, where would you be? Give the latitude and longitude exactly in degrees,minutes and seconds.

You would be at latitude 29 degrees 12' 24" North and longitude 218 degrees 23' 46" West, which is the same as 141 degrees 36' 14" East. That location is in the north Pacific Ocean, about midway between Iwo Jima and Tokyo.

## To find the destination coordinates, you can follow these steps:

1. Start with the initial coordinates: 20° 47' 36" South and 168° 23' 46" West.

2. Go 50 degrees north from the starting latitude. Add 50° to the initial latitude:

20° 47' 36" + 50° = 70° 47' 36" South.

3. Go 50 degrees west from the starting longitude. Subtract 50° from the initial longitude:

168° 23' 46" - 50° = 118° 23' 46" West.

4. Convert the negative values to the equivalent positive values:

70° 47' 36" South is the same as 29° 12' 24" North.

118° 23' 46" West is the same as 241° 36' 14" East.

So, the final destination coordinates would be 29° 12' 24" North and 241° 36' 14" East (or equivalently, 218° 23' 46" West).