Question

convert the following angle to decimal degree notation. do not round.
66°6
enter your answer as an integer or decimal number. examples: 3, -4, 5.5172
enter dne for does not exist, oo for infinity

Explanation:

Step1: Convert minutes to degrees

Since \(1^{\circ} = 60'\), then \(1'=\frac{1}{60}^{\circ}\). For \(6'\), we have \(6\times\frac{1}{60}^{\circ}\).
$$6\times\frac{1}{60}=\frac{6}{60}= 0.1^{\circ}$$

Step2: Add to the degree part

We have the degree part \(66^{\circ}\) and the converted minute part \(0.1^{\circ}\). Then \(66^{\circ}+0.1^{\circ}\).
$$66 + 0.1=66.1^{\circ}$$

Answer:

\(66.1\)