Question

1. convert 178°7 47\ to decimal degrees and round to the nearest hundredth of a degree.

a) 178.09
b) 178.19
c) 178.13
d) 178.14

Explanation:

Step1: Convert seconds to minutes

$\frac{47}{60} \approx 0.7833$ minutes

Step2: Add to existing minutes

$7 + 0.7833 = 7.7833$ minutes

Step3: Convert minutes to degrees

$\frac{7.7833}{60} \approx 0.1297$ degrees

Step4: Add to base degrees

$178 + 0.1297 = 178.1297$

Step5: Round to nearest hundredth

$178.1297 \approx 178.13$

Answer:

c) 178.13