Question

question 10 of 10
32° 15 66 is the same as ____.
round to the nearest hundredth of a degree.
answer here

Explanation:

Step1: Convert seconds to minutes

Since 1 minute = 60 seconds, we first convert 66 seconds to minutes. So, \( 66''=\frac{66}{60}' = 1.1' \)

Step2: Add to existing minutes

Now we add this to the existing 15 minutes. So total minutes \( = 15' + 1.1'=16.1' \)

Step3: Convert minutes to degrees

Since 1 degree = 60 minutes, we convert 16.1 minutes to degrees. So, \( 16.1'=\frac{16.1}{60}^{\circ}\approx0.2683^{\circ} \)

Step4: Add to existing degrees

Now we add this to the existing 32 degrees. So total degrees \( = 32^{\circ}+ 0.2683^{\circ}=32.2683^{\circ} \)

Step5: Round to nearest hundredth

Rounding \( 32.2683^{\circ} \) to the nearest hundredth gives \( 32.27^{\circ} \)

Answer:

\( 32.27^{\circ} \)