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convert the following angles from decimal degrees to degrees, minutes, and seconds (round to the nearest second). note: you must show all the steps for full credit. a) 45.5013 b) 168.7862 c) 87.2530

Sagot :

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68"

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

DMS to Decimal Degree Conversion:

To translate decimal degrees into DMS, take the following actions:

  • The whole number portion of the decimal should be used for the degrees.
  • Divide the last decimal by 60 to get the minutes. Employ a whole number.
  • minutes as a portion of the response.
  • Add 60 to the new decimal to account for the seconds.

According to the given information:

Converting the following angles from decimal degrees to degrees, minutes, and seconds.

A) 45.5013

The whole number is degrees. So 45.5013 gives you 45degrees.

Multiply the remaining decimal by 60.

0.5013*60 =30.078, so the whole number 30 equals minutes.

Multiply the remaining decimal by 60.

.078*60 = 4.68, so the whole number 4.68 equals seconds.

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68".

B) Similarly for this 168.7862.

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

C)Similarly for this  87.2530.

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

To know more about Decimal Degree Conversion visit:

https://brainly.com/question/13684141

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