Final answer:
To convert the angle into degrees, minutes, and seconds, we separate the given angle into its parts and convert the minutes and seconds into degrees. Adding these converted values to the original degrees gives us the final answer.
Step-by-step explanation:
To convert the angle into degrees, minutes, and seconds, we start by separating the given angle into its degrees, minutes, and seconds parts. The given angle is 60° 85' 75. Since there are 60 seconds in 1 minute and 60 minutes in 1 degree, we need to convert the seconds and minutes into degrees.
There are 85 minutes in the given angle, which is equal to 85/60 = 1.4167°. Similarly, there are 75 seconds in 1.25 minutes, which is equal to 1.25/60 = 0.0208°.
Adding these converted values to the original 60°, we get:
60° + 1.4167° + 0.0208° = 61.4375°.
Therefore, the correct answer is (b) 61° 25' 15".