Question

directions: write each angle measure in degree-minute-second (dms) form.

1. 36.875°
2. 117.590°
3. -238.145°
4. 64.901°
5. -323.588°
6. 9.636°

Explanation:

Step1: Separate degrees and decimals

For \(36.875^{\circ}\), the degree part is \(36^{\circ}\). The decimal part is \(0.875\).

Step2: Convert decimal to minutes

Since \(1^{\circ} = 60'\), multiply the decimal part by \(60\). \(0.875\times60 = 52.5'\).

Step3: Separate minutes and decimals

The minute part is \(52'\). The decimal part is \(0.5\).

Step4: Convert decimal to seconds

Since \(1'=60''\), multiply the decimal part by \(60\). \(0.5\times60 = 30''\).

Answer:

\(36^{\circ}52'30''\)