Question

question 2 (5 points)
listen
write 62° 21 47 as a decimal to the nearest thousandth.
62.413°
62.366°
62.363°
62.373°

Explanation:

Step1: Convert seconds to minutes

Since \(1' = 60''\), then \(47''=\frac{47}{60}'\approx0.783'\)

Step2: Add to existing minutes

\(21'+ 0.783'=21.783'\)

Step3: Convert minutes to degrees

Since \(1^{\circ}=60'\), then \(21.783'=\frac{21.783}{60}^{\circ}\approx0.363^{\circ}\)

Step4: Add to existing degrees

\(62^{\circ}+0.363^{\circ}=62.363^{\circ}\)

Answer:

\(62.363^{\circ}\) (the third option)