To convert the angle $62^\circ 51'$ into decimal degree notation, we need to understand the relationship between degrees, minutes, and decimal degrees. Here's how:

1. $1^\circ$ = 60 minutes ($60'$).
2. To convert minutes to decimal degrees, divide the minutes by 60.

Step-by-step solution:

• The angle is $62^\circ 51'$.
• The decimal degree contribution of $51'$ is: $\frac{51}{60} = 0.85$
• Adding this to $62^\circ$, the total angle in decimal degree notation is: $62 + 0.85 = 62.85^\circ$

Final Answer:

$62.85^\circ$

Would you like further clarifications or a step-by-step diagram?

Related Questions:

1. How do you convert angles in degrees, minutes, and seconds (DMS) to decimal degrees?
2. How do you reverse the process (convert decimal degrees back to DMS)?
3. What are practical applications of converting angles to decimal degrees?
4. How is this conversion used in navigation or geospatial measurements?
5. Can this process be used for negative angles as well?

Tip:

Always double-check conversions by ensuring you correctly divide minutes or seconds when converting to decimal form.