Answer :
A suitable calculator* can do this easily.
61°38'45" = (61 +(38 +45/60)/60)° ≈ 61.65°
_____
I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.
61°38'45" = (61 +(38 +45/60)/60)° ≈ 61.65°
_____
I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.
Answer:
[tex]\text{Decimal degrees} = 61.65^\circ[/tex]
Step-by-step explanation:
We are given the measure of an angle in degrees, minutes and seconds.
We have to convert this measure in decimal degrees.
[tex]\text{Measure of angle =} 61^\circ38'45''[/tex]
1 degree equals 60 minutes or 3600 seconds.
The conversion is done with the help of formula:
[tex]\text{Decimal degrees} = d + \displaystyle\frac{m}{60} + \frac{s}{3600}\\\\\text{where d is the degree measur, m is the minute measure and s is the second measure.}[/tex]
Putting the values, we have:
[tex]\text{Decimal degrees} = d + \displaystyle\frac{m}{60} + \frac{s}{3600}\\\\= 61 + \frac{38}{60} + \frac{45}{3600} = 61.65^\circ[/tex]