Question

convert the following angle to decimal degree notation. round to four decimal places. 53°4216\

Explanation:

Step1: Convert seconds to minutes

Since \(1' = 60''\), then \(16''=\frac{16}{60}'\approx0.2667'\).

Step2: Add to existing minutes

\(42'+ 0.2667'=42.2667'\).

Step3: Convert minutes to degrees

Since \(1^{\circ}=60'\), then \(42.2667'=\frac{42.2667}{60}^{\circ}\approx0.7044^{\circ}\).

Step4: Add to existing degrees

\(53^{\circ}+0.7044^{\circ}=53.7044^{\circ}\).

Answer:

\(53.7044\)