To express the angle $36^\circ 48'$ in decimal degrees:

1. The $36^\circ$ remains the same as 36 degrees.

2. Convert $48'$ (minutes) into degrees: $\text{1 minute} = \frac{1}{60} \, \text{degree}.$ So, $48' = \frac{48}{60} = 0.8 \, \text{degrees}.$

3. Add the degrees and the converted minutes: $36^\circ + 0.8^\circ = 36.8^\circ.$

Thus, the angle in decimal degrees is: $\boxed{36.8^\circ}$

Let me know if you want further clarification or assistance!

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Related Questions:

1. How do you convert seconds into decimal degrees?
2. What is the process for converting decimal degrees back into degrees, minutes, and seconds?
3. Why is it important to convert angles into decimal degrees for calculations?
4. Can this conversion method be applied to negative angles?
5. How would you round $36.846^\circ$ to the nearest hundredth?

Tip:

When converting minutes or seconds to decimal degrees, remember that $1' = \frac{1}{60}^\circ$ and $1'' = \frac{1}{3600}^\circ$.