Question

question 16 (5 points)
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write 62° 21 47 as a decimal to the nearest thousandth.
62.413°
62.366°
62.363°
62.373°

Explanation:

Step1: Convert minutes to degrees

Since 1 degree = 60 minutes, 21 minutes in degrees is $\frac{21}{60}= 0.35$ degrees.

Step2: Convert seconds to degrees

Since 1 degree = 3600 seconds, 47 seconds in degrees is $\frac{47}{3600}\approx0.013056$ degrees.

Step3: Sum up all parts

$62^{\circ}+ 0.35^{\circ}+0.013056^{\circ}=62.363056^{\circ}\approx62.363^{\circ}$

Answer:

$62.363^{\circ}$