Question

convert the angle measurement below from decimal into degrees-minutes-seconds: 17.58.216° 58° 35 20.6 58° 90 20.5 58° 24 37.6 58° 12 57.6

Explanation:

Step1: Separate degrees

The whole number part is the degree. Here, the degree is \(58^{\circ}\).

Step2: Calculate minutes

Take the decimal part \(0.216\) and multiply by \(60\) (since \(1^{\circ}=60'\)): \(0.216\times60 = 12.96'\).

Step3: Calculate seconds

Take the decimal part of the minutes \(0.96\) and multiply by \(60\) (since \(1' = 60''\)): \(0.96\times60=57.6''\).

Answer:

\(58^{\circ}12'57.6''\)