Question

convert the given angle to decimal degrees.

1. ( 357 ^ { circ } 34 ^ { prime } 56 ^ { prime prime } )

Explanation:

Step1: Convert seconds to minutes

Since \(1' = 60''\), then \(56''=\frac{56}{60}'\approx0.933'\)

Step2: Add to existing minutes

\(34'+ 0.933'=34.933'\)

Step3: Convert minutes to degrees

Since \(1^{\circ}=60'\), then \(34.933'=\frac{34.933}{60}^{\circ}\approx0.582^{\circ}\)

Step4: Add to existing degrees

\(357^{\circ}+0.582^{\circ}=357.582^{\circ}\)

Answer:

\(357.582^{\circ}\)