Final answer:
To convert -25.49 decimal degrees to degrees, minutes, and seconds, the answer is -25° 29' 24". This conversion involves separating the degree, multiplying the decimal part by 60 for minutes, and doing the process again for seconds.
Step-by-step explanation:
To change the decimal degree -25.49 to degrees, minutes, and seconds (DMS):
- Use the absolute value of the decimal degree since the minutes and seconds are always positive. The integer part is the degree. So, here we have 25 degrees.
- Subtract the integer part from the absolute value of the decimal degree and multiply the result by 60. The integer part of this new number is the minutes. For -25.49, it's 0.49 x 60 = 29.4 minutes. So the minutes are 29.
- Again, subtract the integer part from the product obtained in the previous step and multiply by 60 to get the seconds. We take the 0.4 part from 29.4 and multiply by 60, which equals 24 seconds.
The negative sign indicates the direction (west or south, depending on the context).
The answer is -25° 29' 24" (which might be west or south, depending on context).