Change to the decimal degree equivalent. Round to the nearest ten-thousandth if necessary.

47'

I have no idea how to do this.

1° = 60'

so, 1' = 1/60 °
47' = 47/60 ° = 0.7833°

Okay, thank you. I was trying to work it a different way and it was confusing.

To change from degrees, minutes, and seconds (DMS) to decimal degrees, you need to convert each component into decimal form and then combine them. Here's how you can do it for the given angle:

Step 1: Convert the minutes to decimal form.
Since there are 60 minutes in a degree, divide the given number of minutes by 60:
47 minutes ÷ 60 = 0.7833333 (approximately)

Step 2: Convert the decimal minutes to decimal degrees.
Multiply the decimal minutes by 60 to get the equivalent in decimal degrees:
0.7833333 × 60 = 47 (approximately)

Step 3: Combine the degrees and decimal degrees.
The final result is the original degrees plus the decimal degrees:
47° + 47' = 47.7833333° (approximately)

However, you mentioned rounding to the nearest ten-thousandth. To accomplish this, round the result to the desired number of decimal places:
47° + 47' ≈ 47.7833° (rounded to four decimal places)

Thus, the decimal degree equivalent of 47 minutes (') is approximately 47.7833°, rounded to the nearest ten-thousandth.