Question

convert the following angle to decimal degree notation.
-47° 27
-47° 27 ≈ □°
(round to two decimal places as needed.)

Explanation:

Step1: Convert minutes to degrees

Since \( 1^\circ = 60' \), we convert \( 27' \) to degrees by dividing by 60. So \( 27'=\frac{27}{60}^\circ = 0.45^\circ \).

Step2: Combine with the degree part

The original angle is \( - 47^\circ27' \), so we add the decimal part to the degree part: \( -47^\circ+ 0.45^\circ=-47.45^\circ \).

Answer:

\(-47.45\)