Question

convert each angle measurement from degrees - minutes - seconds into decimal form. round to the nearest ten - thousandth, if necessary.

1. 67°4854

67.895°
67.825°
67.415°
67.815°

Explanation:

Step1: Convert seconds to minutes

Since \(1' = 60''\), then \(54''=\frac{54}{60}' = 0.9'\).

Step2: Add to existing minutes

\(48'+0.9' = 48.9'\).

Step3: Convert minutes to degrees

Since \(1^{\circ}=60'\), then \(48.9'=\frac{48.9}{60}^{\circ}=0.815^{\circ}\).

Step4: Add to existing degrees

\(67^{\circ}+0.815^{\circ}=67.815^{\circ}\).

Answer:

\(67.815^{\circ}\)