A ship sails due north from a position 5 degrees, 28' South Latitude to position 6 degrees, 43' North Latitude. Given that one minute of latitude is equivalent to 1 nautical mile, the ship has sailed a distance of
A. 75 nautical miles
B. 371 nautical miles
C. 731 nautical miles
D. 1211 nautical miles
6 degrees, 28' S + 6 degrees, 43' N = 11 degrees 71 = 660 + 71 = 731 minutes
5 28 = 300 + 28 = 328
6 43 = 360 + 43 = 403
sum = 731, agree
thank you. i understand it better now
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To find the distance the ship sailed, we need to calculate the change in latitude between the two positions.
First, convert the latitude values to decimal form:
5 degrees, 28' south latitude = -5.467 degrees
6 degrees, 43' north latitude = 6.717 degrees
Next, calculate the change in latitude:
Change in latitude = absolute value of (final latitude - initial latitude)
Change in latitude = |6.717 - (-5.467)| = |12.184|
Since 1 minute of latitude is equivalent to 1 nautical mile, we can assume that 1 degree of latitude is equivalent to 60 nautical miles. Therefore, to calculate the distance in nautical miles covered by the ship, we multiply the change in latitude by 60.
Distance in nautical miles = |12.184| * 60
Now, simplify the calculation:
Distance in nautical miles = 731.04 nautical miles
Therefore, the ship has sailed a distance of approximately 731 nautical miles.
The correct answer is C. 731 nautical miles.