To convert $90^\circ 45' 30.5''$ (degrees, minutes, and seconds) to degrees and decimal minutes, follow these steps:

Step 1: Keep the degrees and minutes as they are.

• Degrees: $90^\circ$
• Minutes: $45'$

Step 2: Convert the seconds to decimal minutes.

Since $1' = 60''$, we convert the seconds into a fraction of a minute: $30.5'' = \frac{30.5}{60} = 0.5083'$

Step 3: Add the decimal minutes to the existing minutes.

$45' + 0.5083' = 45.5083'$

Final Answer:

Thus, $90^\circ 45' 30.5''$ is equal to $90^\circ 45.5083'$ in degrees and decimal minutes.

Would you like further details or have any questions?

Related Questions:

1. How do you convert from degrees, minutes, and seconds to decimal degrees?
2. How do you reverse the process and convert decimal minutes back to seconds?
3. What is the importance of using degrees and decimal minutes in navigation?
4. How would you convert $45^\circ 15' 20''$ to decimal minutes?
5. What is the smallest unit between degrees, minutes, and seconds?

Tip:

Always remember that 1 minute is equal to 60 seconds, so divide the seconds by 60 to convert them into decimal minutes.