Final answer:
To convert 45° 25 minutes to the nearest tenth of a decimal degree, divide the minutes by 60 and add it to the given angle. Round the result to the nearest tenth of a decimal degree.
Step-by-step explanation:
To convert the given angle to decimal degrees, we need to convert the minutes to a decimal fraction of a degree. Since there are 60 minutes in a degree, we divide the minutes by 60.
In this case, we have 45° 25 minutes. Converting the minutes to a decimal fraction, we get 25/60 = 0.4167°. Adding this to the given angle, we have 45° + 0.4167° = 45.4167°.
The angle 45° 25 minutes is approximately equal to 45.4° when rounded to the nearest tenth of a decimal degree.