Problem 537

Write 42^{\circ} {15}'{5}''  using decimal degrees. Round your answer to the nearest thousandth.

 

Solution:-

 

Convert the minutes and seconds using the following ratios: \frac{1}{60} and  \frac{1}{3600} , respectively.

Then write your answer as a decimal rounded to the nearest thousandth.

 

So the  answer is  42.251^{\circ}

 

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