To convert the angle 355838 to decimal degrees, we first need to understand what this number represents. The angle is given in a format that seems to be in the form of minutes and seconds. Here, the integer part is the degrees, while the trailing digits represent the minutes and seconds.
In the number 355838, the first two digits (35) represent degrees, the next two digits (58) represent minutes, and the last two digits (38) represent seconds. Therefore, we can break it down as follows:
- Degrees: 35
- Minutes: 58
- Seconds: 38
Next, we need to convert the minutes and seconds into decimal form. The conversion from minutes and seconds to decimal degrees can be done using the following formula:
Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)
Now, plugging in our values:
- Decimal Degrees = 35 + (58 / 60) + (38 / 3600)
- Decimal Degrees = 35 + 0.9667 + 0.0106
- Decimal Degrees ≈ 35.9773
Finally, we round this result to the nearest hundredth of a degree. Rounding 35.9773 gives us 35.98.
Therefore, the angle 355838 in decimal degrees, rounded to the nearest hundredth, is 35.98 degrees.