Question

convert the expression from degrees, minutes, seconds (dms) notation to decimal notation. round your answer to four decimal places. 66°138

Explanation:

Step1: Recall conversion formulas

1 minute = $\frac{1}{60}$ degrees and 1 second = $\frac{1}{3600}$ degrees.

Step2: Convert minutes to degrees

$13$ minutes is $13\times\frac{1}{60}=\frac{13}{60}\approx0.2167$ degrees.

Step3: Convert seconds to degrees

$8$ seconds is $8\times\frac{1}{3600}=\frac{8}{3600}\approx0.0022$ degrees.

Step4: Add all parts

The decimal - degree measure is $66 + 0.2167+0.0022 = 66.2189$ degrees.

Answer:

$66.2189$