Convert to degree-decimal form. Round answer to three decimal places.

Question

Convert  to degree-decimal form. Round answer to three decimal places.

Quizplus · Accepted Answer

To convert from hex to degree-decimal form, we can separate the string into two parts - the latitude and longitude.

Latitude: 11eb80b1_affd_6d5d_a291_4560ed4b20e1_TB8633_11 
The first 8 digits (11eb80b1) represent the degrees, and we can convert this to decimal by dividing by 10^7. 
11eb80b1 / 10^7 = 29.9576461 degrees

The next 8 digits (affd6d5d) represent the minutes, and we can convert this to decimal by dividing by 10^7 and multiplying by 60. 
affd6d5d / 10^7 * 60 = 39.454896 minutes

The remaining digits (a2914560ed4b20e1_TB8633_11) represent the seconds, and we can convert this to decimal by dividing by 10^15 (since there are 15 digits) and multiplying by 60. 
a2914560ed4b20e1 / 10^15 * 60 = 30.8616 seconds

Therefore, the latitude is 29.9576461 degrees, 39.454896 minutes, 30.8616 seconds.

Longitude: TB8633_11 
The first 7 characters (TB8633) represent the degrees, and we can convert this to decimal by dividing by 10^5. 
TB8633 / 10^5 = -74.11055 degrees

The remaining characters (11) do not affect the degrees, minutes, or seconds.

Therefore, the longitude is -74.11055 degrees.

Together, the coordinates are 29.9576461 N, 74.11055 W (rounded to 3 decimal places).

Among the answer choices, only D matches these coordinates.

Convert to Degree-Decimal Form