'Convert each angle measure to decimal degrees. Round to the nearest thousandth of a degree.'

Question

'Convert each angle measure to decimal degrees. Round to the nearest thousandth of a degree.'

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'Convert each angle measure to decimal degrees. Round to the nearest thousandth of a degree.'

20°54'

38°42'

91°35'54"

34°51'35"

274°18'59"

165°51'9"

Can someone explain how to do this on a scientific calculator? The teacher told me you use just a calculator and press certain buttons...

Guest Sep 5, 2014

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One way to do it is just to add the degrees to 1/60 times the minutes plus 1/3600 times the seconds. For example:

${\mathtt{91}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{35}}}{{\mathtt{60}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{54}}}{{\mathtt{3\,600}}}} = {\mathtt{91.598\: \!333\: \!333\: \!333\: \!333\: \!3}}$

Alan Sep 5, 2014

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Alan · Answer 1 · 2014-09-05T08:46:20

One way to do it is just to add the degrees to 1/60 times the minutes plus 1/3600 times the seconds. For example:

${\mathtt{91}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{35}}}{{\mathtt{60}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{54}}}{{\mathtt{3\,600}}}} = {\mathtt{91.598\: \!333\: \!333\: \!333\: \!333\: \!3}}$

'Convert each angle measure to decimal degrees. Round to the nearest thousandth of a degree.'

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'Convert each angle measure to decimal degrees. Round to the nearest thousandth of a degree.'

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