To convert the angle 613845 to decimal degrees, we first need to understand the format of this number. The number represents an angle in a degree-minute-second format (DMS), where:
- The first two digits (61) represent degrees.
- The next two digits (38) represent minutes.
- The last two digits (45) represent seconds.
Now, we can perform the conversion using the following method:
- Convert minutes to degrees by dividing by 60:
38 minutes = 38 / 60 = 0.6333 degrees - Convert seconds to degrees by dividing by 3600:
45 seconds = 45 / 3600 = 0.0125 degrees
Next, we add these converted values to the degrees:
Total degrees = 61 + 0.6333 + 0.0125 = 61.6458 degrees
Finally, to round to the nearest hundredth of a degree, we look at the third decimal place (which is a 5), and since it’s 5 or greater, we round up the second decimal place:
Rounded result = 61.65 degrees
Therefore, the angle 613845 converted to decimal degrees, rounded to the nearest hundredth is 61.65°.